Thomas Bland, Francesca Ferlaino, Massimo Mannarelli, Elena Poli, Silvia Trabucco
Glitches are sudden spin-up events that interrupt the gradual spin-down of rotating neutron stars. They are believed to arise from the rapid unpinning of vortices in the neutron star inner crust. The analogy between the inner crust of neutron stars and dipolar supersolids allows to investigate glitches. Employing such analogy, we numerically analyze the vortex trapping mechanism and how the matter density distribution influences glitches. These results pave the way for the quantum simulation of celestial bodies in laboratories.
{"title":"Exploring pulsar glitches with dipolar supersolids","authors":"Thomas Bland, Francesca Ferlaino, Massimo Mannarelli, Elena Poli, Silvia Trabucco","doi":"arxiv-2407.03212","DOIUrl":"https://doi.org/arxiv-2407.03212","url":null,"abstract":"Glitches are sudden spin-up events that interrupt the gradual spin-down of\u0000rotating neutron stars. They are believed to arise from the rapid unpinning of\u0000vortices in the neutron star inner crust. The analogy between the inner crust\u0000of neutron stars and dipolar supersolids allows to investigate glitches.\u0000Employing such analogy, we numerically analyze the vortex trapping mechanism\u0000and how the matter density distribution influences glitches. These results pave\u0000the way for the quantum simulation of celestial bodies in laboratories.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141548885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Marcin Muszynski, Pavel Kokhanchik, Darius Urbonas, Piotr Kapuscinski, Przemyslaw Oliwa, Rafal Mirek, Ioannis Georgakilas, Thilo Stoferle, Rainer F. Mahrt, Michael Forster, Ullrich Scherf, Dmitriy Dovzhenko, Rafal Mazur, Przemyslaw Morawiak, Wiktor Piecek, Przemyslaw Kula, Barbara Pietka, Dmitry Solnyshkov, Guillaume Malpuech, Jacek Szczytko
In Bose-Einstein condensates, spin-orbit coupling produces supersolidity. It is a peculiar state of matter, which, in addition to the superfluid behaviour of weakly interacting Bose condensates, shows a periodic modulation of its density typical for crystals and called stripe phase. Here, we report the fabrication of a new type of samples allowing to achieve room-temperature supersolidity for a quantum fluid of light. The structure is an optical microcavity filled with a nematic liquid crystal (LC) sandwiched between two layers of the organic polymer MeLPPP. We demonstrate the formation of cavity exciton-polaritons in the presence of Rashba-Dresselhaus spin-orbit coupling (RDSOC), which is tuned by external voltage controlling the LC birefringence. In the RDSOC regime, we demonstrate exciton-polariton condensation in the two distinct degenerate minima of the dispersion. The condensate real space distribution shows both polarization and density stripes, which stem from the interference between phase-coherent condensate components characterized by different wavevectors and polarizations. The possibilities offered by this platform to tune the particle dispersion and to perform full state tomography, including time-resolved, open wide perspectives for detailed future studies of the static and dynamical behaviour of supersolids and of quantum fluids in presence of SOC and topologically non-trivial bands.
{"title":"Observation of a stripe phase in a spin-orbit coupled exciton-polariton Bose-Einstein condensate","authors":"Marcin Muszynski, Pavel Kokhanchik, Darius Urbonas, Piotr Kapuscinski, Przemyslaw Oliwa, Rafal Mirek, Ioannis Georgakilas, Thilo Stoferle, Rainer F. Mahrt, Michael Forster, Ullrich Scherf, Dmitriy Dovzhenko, Rafal Mazur, Przemyslaw Morawiak, Wiktor Piecek, Przemyslaw Kula, Barbara Pietka, Dmitry Solnyshkov, Guillaume Malpuech, Jacek Szczytko","doi":"arxiv-2407.02406","DOIUrl":"https://doi.org/arxiv-2407.02406","url":null,"abstract":"In Bose-Einstein condensates, spin-orbit coupling produces supersolidity. It\u0000is a peculiar state of matter, which, in addition to the superfluid behaviour\u0000of weakly interacting Bose condensates, shows a periodic modulation of its\u0000density typical for crystals and called stripe phase. Here, we report the\u0000fabrication of a new type of samples allowing to achieve room-temperature\u0000supersolidity for a quantum fluid of light. The structure is an optical\u0000microcavity filled with a nematic liquid crystal (LC) sandwiched between two\u0000layers of the organic polymer MeLPPP. We demonstrate the formation of cavity\u0000exciton-polaritons in the presence of Rashba-Dresselhaus spin-orbit coupling\u0000(RDSOC), which is tuned by external voltage controlling the LC birefringence.\u0000In the RDSOC regime, we demonstrate exciton-polariton condensation in the two\u0000distinct degenerate minima of the dispersion. The condensate real space\u0000distribution shows both polarization and density stripes, which stem from the\u0000interference between phase-coherent condensate components characterized by\u0000different wavevectors and polarizations. The possibilities offered by this\u0000platform to tune the particle dispersion and to perform full state tomography,\u0000including time-resolved, open wide perspectives for detailed future studies of\u0000the static and dynamical behaviour of supersolids and of quantum fluids in\u0000presence of SOC and topologically non-trivial bands.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"216 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The task of experimentally investigating the inherently dual properties of a supersolid, a simultaneous superfluid and solid, has become more critical following the recent experimental evidence for supersolids in dipolar Bose-Einstein condensates (BECs) of $^{164}text{Dy}$. We introduce a supersolid order parameter that uses vortex-vortex trajectory correlations to simultaneously reveal the periodic density of the underlying solid and superfluidity in a single measure. We propose experiments using existing technology to optically create and image trajectories of vortex dipoles in dipolar BECs. We numerically test our observable and find that vortex-vortex correlations reveal the supersolid lattice structure while distinguishing it from superfluidity. Our method sets the stage for experiments to use vortex trajectory correlations to investigate fundamental properties of supersolids arising from their dynamics and phase transitions.
{"title":"Unveiling Supersolid Order via Vortex Trajectory Correlations","authors":"Subrata Das, Vito W. Scarola","doi":"arxiv-2407.02481","DOIUrl":"https://doi.org/arxiv-2407.02481","url":null,"abstract":"The task of experimentally investigating the inherently dual properties of a\u0000supersolid, a simultaneous superfluid and solid, has become more critical\u0000following the recent experimental evidence for supersolids in dipolar\u0000Bose-Einstein condensates (BECs) of $^{164}text{Dy}$. We introduce a\u0000supersolid order parameter that uses vortex-vortex trajectory correlations to\u0000simultaneously reveal the periodic density of the underlying solid and\u0000superfluidity in a single measure. We propose experiments using existing\u0000technology to optically create and image trajectories of vortex dipoles in\u0000dipolar BECs. We numerically test our observable and find that vortex-vortex\u0000correlations reveal the supersolid lattice structure while distinguishing it\u0000from superfluidity. Our method sets the stage for experiments to use vortex\u0000trajectory correlations to investigate fundamental properties of supersolids\u0000arising from their dynamics and phase transitions.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"190 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Elena Poli, Danny Baillie, Francesca Ferlaino, P. Blair Blakie
We present a theoretical study of the excitations of the two-dimensional supersolid state of a Bose-Einstein condensate with either dipole-dipole interactions or soft-core interactions. This supersolid state has three gapless excitation branches arising from the spontaneously broken continuous symmetries. Two of these branches are related to longitudinal sound waves, similar to those in one-dimensional supersolids. The third branch is a transverse wave arising from the non-zero shear modulus of the two-dimensional crystal. We present the results of numerical calculations for the excitations and dynamic structure factor characterising the density fluctuations, and study their behavior across the discontinuous superfluid to supersolid transition. We show that the speeds of sound are described by a hydrodynamic theory that incorporates generalized elastic parameters, including the shear modulus. Furthermore, we establish that dipolar and soft-core supersolids manifest distinct characteristics, falling into the bulk incompressible and rigid lattice limits, respectively.
{"title":"Excitations of a two-dimensional supersolid","authors":"Elena Poli, Danny Baillie, Francesca Ferlaino, P. Blair Blakie","doi":"arxiv-2407.01072","DOIUrl":"https://doi.org/arxiv-2407.01072","url":null,"abstract":"We present a theoretical study of the excitations of the two-dimensional\u0000supersolid state of a Bose-Einstein condensate with either dipole-dipole\u0000interactions or soft-core interactions. This supersolid state has three gapless\u0000excitation branches arising from the spontaneously broken continuous\u0000symmetries. Two of these branches are related to longitudinal sound waves,\u0000similar to those in one-dimensional supersolids. The third branch is a\u0000transverse wave arising from the non-zero shear modulus of the two-dimensional\u0000crystal. We present the results of numerical calculations for the excitations\u0000and dynamic structure factor characterising the density fluctuations, and study\u0000their behavior across the discontinuous superfluid to supersolid transition. We\u0000show that the speeds of sound are described by a hydrodynamic theory that\u0000incorporates generalized elastic parameters, including the shear modulus.\u0000Furthermore, we establish that dipolar and soft-core supersolids manifest\u0000distinct characteristics, falling into the bulk incompressible and rigid\u0000lattice limits, respectively.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141548880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jiaqi Wu, Hui Tan, Rui Cao, Jianmin Yuan, Yongqiang Li
Orbital degrees of freedom play an important role for understanding the emergence of unconventional quantum phases. Ultracold atomic gases in optical lattices provide a wonderful platform to simulate orbital physics. In this work, we consider spinless fermionic atoms loaded into $p$-orbital bands of a two-dimensional frustrated triangular lattice. The system can be described by an extended Fermi-Hubbard model, which is numerically solved by using the orbital version of real-space dynamical mean-field theory. Low-temperature phase diagrams are obtained, which contain stripe-, ferro- and para-orbital ordered quantum phases, due to the interplay of anisotropic hoppings and geometrical frustration. In order to understand the underlying mechanics of competing orbital orders, we derive an effective orbital-exchange model, which yields consistent explanation with our main numerical results.
{"title":"Orbital phases of $p$-band ultracold fermions in the frustrated triangular lattice","authors":"Jiaqi Wu, Hui Tan, Rui Cao, Jianmin Yuan, Yongqiang Li","doi":"arxiv-2407.00932","DOIUrl":"https://doi.org/arxiv-2407.00932","url":null,"abstract":"Orbital degrees of freedom play an important role for understanding the\u0000emergence of unconventional quantum phases. Ultracold atomic gases in optical\u0000lattices provide a wonderful platform to simulate orbital physics. In this\u0000work, we consider spinless fermionic atoms loaded into $p$-orbital bands of a\u0000two-dimensional frustrated triangular lattice. The system can be described by\u0000an extended Fermi-Hubbard model, which is numerically solved by using the\u0000orbital version of real-space dynamical mean-field theory. Low-temperature\u0000phase diagrams are obtained, which contain stripe-, ferro- and para-orbital\u0000ordered quantum phases, due to the interplay of anisotropic hoppings and\u0000geometrical frustration. In order to understand the underlying mechanics of\u0000competing orbital orders, we derive an effective orbital-exchange model, which\u0000yields consistent explanation with our main numerical results.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"124 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Silvia Musolino, Mathias Albert, Anna Minguzzi, Patrizia Vignolo
Multi-component quantum mixtures in one dimension can be characterized by their symmetry under particle exchange. For a strongly-interacting Bose-Bose mixture, we show that the time evolution of the momentum distribution from an initially symmetry-mixed state is quasi-constant for a SU(2) symmetry conserving Hamiltonian, while it displays large oscillations in time for the symmetry-breaking case where inter- and intra-species interactions are different. Using the property that the momentum distribution operator at strong interactions commutes with the class-sum operator, the latter acting as a symmetry witness, we show that the momentum distribution oscillations correspond to symmetry oscillations, with a mechanism analog to neutrino flavour oscillations.
{"title":"Symmetry oscillations in strongly interacting one-dimensional mixtures","authors":"Silvia Musolino, Mathias Albert, Anna Minguzzi, Patrizia Vignolo","doi":"arxiv-2407.00194","DOIUrl":"https://doi.org/arxiv-2407.00194","url":null,"abstract":"Multi-component quantum mixtures in one dimension can be characterized by\u0000their symmetry under particle exchange. For a strongly-interacting Bose-Bose\u0000mixture, we show that the time evolution of the momentum distribution from an\u0000initially symmetry-mixed state is quasi-constant for a SU(2) symmetry\u0000conserving Hamiltonian, while it displays large oscillations in time for the\u0000symmetry-breaking case where inter- and intra-species interactions are\u0000different. Using the property that the momentum distribution operator at strong\u0000interactions commutes with the class-sum operator, the latter acting as a\u0000symmetry witness, we show that the momentum distribution oscillations\u0000correspond to symmetry oscillations, with a mechanism analog to neutrino\u0000flavour oscillations.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the condensate and superfluid fraction of a homogeneous gas of weakly interacting bosons in three spatial dimensions by adopting a self-consistent Popov approximation, comparing this approach with other theoretical schemes. Differently from the superfluid fraction, we find that at finite temperature the condensate fraction is a non-monotonic function of the interaction strength, presenting a global maximum at a characteristic value of the gas parameter, which grows as the temperature increases. This non-monotonic behavior has not yet been observed, but could be tested with the available experimental setups of ultracold bosonic atoms confined in a box potential. We clearly identify the region of parameter space that is of experimental interest to look for this behavior and provide explicit expressions for the relevant observables. Finite size effects are also discussed within a semiclassical approximation.
{"title":"Condensate and superfluid fraction of homogeneous Bose gases in a self-consistent Popov approximation","authors":"C. Vianello, L. Salasnich","doi":"arxiv-2406.20021","DOIUrl":"https://doi.org/arxiv-2406.20021","url":null,"abstract":"We study the condensate and superfluid fraction of a homogeneous gas of\u0000weakly interacting bosons in three spatial dimensions by adopting a\u0000self-consistent Popov approximation, comparing this approach with other\u0000theoretical schemes. Differently from the superfluid fraction, we find that at\u0000finite temperature the condensate fraction is a non-monotonic function of the\u0000interaction strength, presenting a global maximum at a characteristic value of\u0000the gas parameter, which grows as the temperature increases. This non-monotonic\u0000behavior has not yet been observed, but could be tested with the available\u0000experimental setups of ultracold bosonic atoms confined in a box potential. We\u0000clearly identify the region of parameter space that is of experimental interest\u0000to look for this behavior and provide explicit expressions for the relevant\u0000observables. Finite size effects are also discussed within a semiclassical\u0000approximation.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"174 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The beyond mean-field physics due to quantum fluctuations is often described by the Lee-Huang-Yang (LHY) correction, which can be approximately written as a simple analytical expression in terms of the mean-field employing local density approximation. This model has proven to be very successful in predicting the dynamics in dipolar Bose-Einstein condensates both qualitatively and quantitatively. Yet, a small deviation between experimental results and the theoretical prediction has been observed when comparing experiment and theory of the phase boundary of a free-space quantum droplet. For this reason, we revisit the theoretical description of quantum fluctuations in dipolar quantum gases. We study alternative cutoffs, compare them to experimental results and discuss limitations.
{"title":"On the infrared cutoff for dipolar droplets","authors":"Liang-Jun He, Fabian Maucher, Yong-Chang Zhang","doi":"arxiv-2406.19609","DOIUrl":"https://doi.org/arxiv-2406.19609","url":null,"abstract":"The beyond mean-field physics due to quantum fluctuations is often described\u0000by the Lee-Huang-Yang (LHY) correction, which can be approximately written as a\u0000simple analytical expression in terms of the mean-field employing local density\u0000approximation. This model has proven to be very successful in predicting the\u0000dynamics in dipolar Bose-Einstein condensates both qualitatively and\u0000quantitatively. Yet, a small deviation between experimental results and the\u0000theoretical prediction has been observed when comparing experiment and theory\u0000of the phase boundary of a free-space quantum droplet. For this reason, we\u0000revisit the theoretical description of quantum fluctuations in dipolar quantum\u0000gases. We study alternative cutoffs, compare them to experimental results and\u0000discuss limitations.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"124 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515200","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ultracold atoms endowed with tunable spin-orbital-angular-momentum coupling (SOAMC) represent a promising avenue for delving into exotic quantum phenomena. Building on recent experimental advancements, we propose the generation of synthetic gauge fields ,and by including exotic vortex phases within spinor Bose-Einstein condensates, employing a combination of a running wave and Laguerre-Gaussian laser fields. We investigate the ground-state characteristics of the SOAMC condensate, revealing the emergence of exotic vortex states with controllable orbital angular momenta. It is shown that the interplay of the SOAMC and conventional spin-linear-momentum coupling induced by the running wave beam leads to the formation of a vortex state exhibiting a phase stripe hosting single multiply quantized singularity. The phase of the ground state will undergo the phase transition corresponding to the breaking of rotational symmetry while preserving the mirror symmetry. Importantly, the observed density distribution of the ground-state wavefunction, exhibiting broken rotational symmetry, can be well characterized by the synthetic magnetic field generated through light interaction with the dressed spin state. Our findings pave the way for further exploration into the rotational properties of stable exotic vortices with higher orbital angular momenta against splitting in the presence of synthetic gauge fields in ultracold quantum gases.
{"title":"The synthetic gauge field and exotic vortex phase with spin-orbital-angular-momentum coupling","authors":"Yingqi Liu, Yun Chen, Yuangang Deng","doi":"arxiv-2406.20001","DOIUrl":"https://doi.org/arxiv-2406.20001","url":null,"abstract":"Ultracold atoms endowed with tunable spin-orbital-angular-momentum coupling\u0000(SOAMC) represent a promising avenue for delving into exotic quantum phenomena.\u0000Building on recent experimental advancements, we propose the generation of\u0000synthetic gauge fields ,and by including exotic vortex phases within spinor\u0000Bose-Einstein condensates, employing a combination of a running wave and\u0000Laguerre-Gaussian laser fields. We investigate the ground-state characteristics\u0000of the SOAMC condensate, revealing the emergence of exotic vortex states with\u0000controllable orbital angular momenta. It is shown that the interplay of the\u0000SOAMC and conventional spin-linear-momentum coupling induced by the running\u0000wave beam leads to the formation of a vortex state exhibiting a phase stripe\u0000hosting single multiply quantized singularity. The phase of the ground state\u0000will undergo the phase transition corresponding to the breaking of rotational\u0000symmetry while preserving the mirror symmetry. Importantly, the observed\u0000density distribution of the ground-state wavefunction, exhibiting broken\u0000rotational symmetry, can be well characterized by the synthetic magnetic field\u0000generated through light interaction with the dressed spin state. Our findings\u0000pave the way for further exploration into the rotational properties of stable\u0000exotic vortices with higher orbital angular momenta against splitting in the\u0000presence of synthetic gauge fields in ultracold quantum gases.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"83 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The exploration of novel phases and the elucidation of correspondences between topological invariants and their intriguing properties are pivotal in the realm of topological physics. Here, we investigate a complex exceptional structure, termed the composite exceptional ring (CER), composed of a third-order exceptional ring and multiple Weyl exceptional rings. We establish a direct correspondence between Chern numbers and the distinctive behaviors exhibited by these exceptional structures. Notably, we demonstrate that band braiding during quasistatic encircling processes correlates with bands possessing nontrivial Chern numbers, leading to triple (double) periodic spectra for cases with topologically nontrivial (trivial) middle bands. Moreover, the Chern numbers predict mode transfer behaviors during dynamical encircling process. We propose experimental schemes to realize CER in cold atoms, emphasizing the critical role of Chern numbers as both a measurable quantity and a descriptor of the exceptional physics inherent to dissipative systems. The discovery of CER opens significant avenues for expanding the scope of topological classifications in non-Hermitian systems, with promising applications in quantum computing and metrology.
{"title":"Topological Dynamics and Correspondences in Composite Exceptional Rings","authors":"Zhoutao Lei, Yuangang Deng","doi":"arxiv-2406.19137","DOIUrl":"https://doi.org/arxiv-2406.19137","url":null,"abstract":"The exploration of novel phases and the elucidation of correspondences\u0000between topological invariants and their intriguing properties are pivotal in\u0000the realm of topological physics. Here, we investigate a complex exceptional\u0000structure, termed the composite exceptional ring (CER), composed of a\u0000third-order exceptional ring and multiple Weyl exceptional rings. We establish\u0000a direct correspondence between Chern numbers and the distinctive behaviors\u0000exhibited by these exceptional structures. Notably, we demonstrate that band\u0000braiding during quasistatic encircling processes correlates with bands\u0000possessing nontrivial Chern numbers, leading to triple (double) periodic\u0000spectra for cases with topologically nontrivial (trivial) middle bands.\u0000Moreover, the Chern numbers predict mode transfer behaviors during dynamical\u0000encircling process. We propose experimental schemes to realize CER in cold\u0000atoms, emphasizing the critical role of Chern numbers as both a measurable\u0000quantity and a descriptor of the exceptional physics inherent to dissipative\u0000systems. The discovery of CER opens significant avenues for expanding the scope\u0000of topological classifications in non-Hermitian systems, with promising\u0000applications in quantum computing and metrology.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141548969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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