David Wellnitz, Gustavo A. Domínguez-Castro, Thomas Bilitewski, Monika Aidelsburger, Ana Maria Rey, Luis Santos
We investigate the quantum many-body dynamics of bosonic atoms hopping in a two-leg ladder with strong on-site contact interactions. We observe that when the atoms are prepared in a staggered pattern with pairs of atoms on every other rung, singlon defects, i.e.~rungs with only one atom, can localize due to an emergent topological model, even though the underlying model in the absence of interactions admits only topologically trivial states. This emergent topological localization results from the formation of a zero-energy edge mode in an effective lattice formed by two adjacent chains with alternating strong and weak hoping links (Su-Schrieffer-Heeger chains) and opposite staggering which interface at the defect position. Our findings open the opportunity to dynamically generate non-trivial topological behaviors without the need for complex Hamiltonian engineering.
{"title":"Emergent interaction-induced topology in Bose-Hubbard ladders","authors":"David Wellnitz, Gustavo A. Domínguez-Castro, Thomas Bilitewski, Monika Aidelsburger, Ana Maria Rey, Luis Santos","doi":"arxiv-2409.05109","DOIUrl":"https://doi.org/arxiv-2409.05109","url":null,"abstract":"We investigate the quantum many-body dynamics of bosonic atoms hopping in a\u0000two-leg ladder with strong on-site contact interactions. We observe that when\u0000the atoms are prepared in a staggered pattern with pairs of atoms on every\u0000other rung, singlon defects, i.e.~rungs with only one atom, can localize due to\u0000an emergent topological model, even though the underlying model in the absence\u0000of interactions admits only topologically trivial states. This emergent\u0000topological localization results from the formation of a zero-energy edge mode\u0000in an effective lattice formed by two adjacent chains with alternating strong\u0000and weak hoping links (Su-Schrieffer-Heeger chains) and opposite staggering\u0000which interface at the defect position. Our findings open the opportunity to\u0000dynamically generate non-trivial topological behaviors without the need for\u0000complex Hamiltonian engineering.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176109","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 investigate the dynamics of quantized vortices in a model two-dimensional supersolid. Starting from an effective action that captures the dynamics of the superfluid condensate and its coupling to the lattice displacements, we integrate out the low-energy Goldstone modes-the phonons of the solid and the superfluid condensate-to arrive at an effective action for the vortices in the condensate. In the low-velocity limit we calculate the effective inertial mass for the vortices, and we find that the mass has a logarithmic frequency dependence, similar to the inertial mass found in superfluid vortices. The vortex dynamics also includes a Magnus force term in the equation of motion that arises from the Berry phase in the effective action.
{"title":"Vortex dynamics in two-dimensional supersolids","authors":"Chi-Deuk Yoo, Alan T. Dorsey","doi":"arxiv-2409.04865","DOIUrl":"https://doi.org/arxiv-2409.04865","url":null,"abstract":"We investigate the dynamics of quantized vortices in a model two-dimensional\u0000supersolid. Starting from an effective action that captures the dynamics of the\u0000superfluid condensate and its coupling to the lattice displacements, we\u0000integrate out the low-energy Goldstone modes-the phonons of the solid and the\u0000superfluid condensate-to arrive at an effective action for the vortices in the\u0000condensate. In the low-velocity limit we calculate the effective inertial mass\u0000for the vortices, and we find that the mass has a logarithmic frequency\u0000dependence, similar to the inertial mass found in superfluid vortices. The\u0000vortex dynamics also includes a Magnus force term in the equation of motion\u0000that arises from the Berry phase in the effective action.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176111","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}
A gas of ultracold atoms probed with laser light is a nearly-ideal experimental realization of a medium of resonant point-like scatterers, a key problem from condensed matter to biology or photonics. Yet, several recent experiments have reported large discrepancies with theory. In this work, we measure the complex transmission through a slab of ultracold two-level atoms with an interferometric technique. We find good agreement with first-principles simulations of mutually-coupled, laser-driven dipoles, and provide an explanation for the discrepancies in earlier measurements.
{"title":"Resonant light scattering by a slab of ultracold atoms","authors":"R. Vatré, R. Lopes, J. Beugnon, F. Gerbier","doi":"arxiv-2409.04148","DOIUrl":"https://doi.org/arxiv-2409.04148","url":null,"abstract":"A gas of ultracold atoms probed with laser light is a nearly-ideal\u0000experimental realization of a medium of resonant point-like scatterers, a key\u0000problem from condensed matter to biology or photonics. Yet, several recent\u0000experiments have reported large discrepancies with theory. In this work, we\u0000measure the complex transmission through a slab of ultracold two-level atoms\u0000with an interferometric technique. We find good agreement with first-principles\u0000simulations of mutually-coupled, laser-driven dipoles, and provide an\u0000explanation for the discrepancies in earlier measurements.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176112","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 investigate the fundamental problem of a small density of bosonic impurities immersed in a dilute Bose gas at zero temperature. Within the perturbative regime of weak interactions, we show that the presence of the surrounding medium can lead to an enhanced repulsion between dressed bosonic impurities (polarons) rather than an induced attraction, in contrast to prevailing theories. Moreover, we find that the induced polaron-polaron interactions only become attractive when the impurity-boson interactions are sufficiently strong that the system is unstable towards either phase separation or collapse/droplet formation. Our work highlights the role of polaron condensation in polaron-polaron interactions, and it has important implications for theories of induced interactions in general.
{"title":"Medium-enhanced polaron repulsion in a dilute Bose mixture","authors":"Jesper Levinsen, Olivier Bleu, Meera M. Parish","doi":"arxiv-2409.03406","DOIUrl":"https://doi.org/arxiv-2409.03406","url":null,"abstract":"We investigate the fundamental problem of a small density of bosonic\u0000impurities immersed in a dilute Bose gas at zero temperature. Within the\u0000perturbative regime of weak interactions, we show that the presence of the\u0000surrounding medium can lead to an enhanced repulsion between dressed bosonic\u0000impurities (polarons) rather than an induced attraction, in contrast to\u0000prevailing theories. Moreover, we find that the induced polaron-polaron\u0000interactions only become attractive when the impurity-boson interactions are\u0000sufficiently strong that the system is unstable towards either phase separation\u0000or collapse/droplet formation. Our work highlights the role of polaron\u0000condensation in polaron-polaron interactions, and it has important implications\u0000for theories of induced interactions in general.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176113","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}
Erik Bernhart, Marvin Röhrle, Vijay Pal Singh, Ludwig Mathey, Luigi Amico, Herwig Ott
The current-voltage characteristic of a driven superconducting Josephson junction displays discrete steps. This phenomenon, discovered by Sydney Shapiro, forms today's voltage standard. Here, we report the observation of Shapiro steps in a driven Josephson junction in a gas of ultracold atoms. We demonstrate that the steps exhibit universal features, and provide key insight into the microscopic dissipative dynamics that we directly observe in the experiment. Most importantly, the steps are directly connected to phonon emission and soliton nucleation. The experimental results are underpinned by extensive numerical simulations based on classical-field dynamics and represent the transfer of the voltage standard to the realm of ultracold quantum gases.
{"title":"Observation of Shapiro steps in an ultracold atomic Josephson junction","authors":"Erik Bernhart, Marvin Röhrle, Vijay Pal Singh, Ludwig Mathey, Luigi Amico, Herwig Ott","doi":"arxiv-2409.03340","DOIUrl":"https://doi.org/arxiv-2409.03340","url":null,"abstract":"The current-voltage characteristic of a driven superconducting Josephson\u0000junction displays discrete steps. This phenomenon, discovered by Sydney\u0000Shapiro, forms today's voltage standard. Here, we report the observation of\u0000Shapiro steps in a driven Josephson junction in a gas of ultracold atoms. We\u0000demonstrate that the steps exhibit universal features, and provide key insight\u0000into the microscopic dissipative dynamics that we directly observe in the\u0000experiment. Most importantly, the steps are directly connected to phonon\u0000emission and soliton nucleation. The experimental results are underpinned by\u0000extensive numerical simulations based on classical-field dynamics and represent\u0000the transfer of the voltage standard to the realm of ultracold quantum gases.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"86 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176114","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}
Tanausú Hernández Yanes, Youcef Bamaara, Alice Sinatra, Emilia Witkowska
Bell non-locality stems from quantum correlations effectively identified using inequalities. Spin chains, simulated with ultra-cold atoms in optical lattices, Rydberg atoms in tweezer arrays, trapped ions, or molecules, allow single-spin control and measurement. Therefore, they are suitable for studying fundamental aspects of these correlations and non-locality. Occupation defects, such as vacancies or multiple atoms occupying a single site due to imperfect system preparation, limit the detection of Bell correlations. We investigate their impact using a simplified toy model parameterized by the probability of a site being singly occupied. We derive the corresponding Bell inequality and identify the smallest probability that establishes a lower bound for detecting Bell correlations. We relate the bound to two physical parameters leading to defects in occupations: non-zero temperature and filling factor, focusing on entangled ultra-cold atoms in optical lattices. Finally, we numerically validate the predictions of the toy model by full many-body simulations.
{"title":"Bounds on detection of Bell correlations with entangled ultra-cold atoms in optical lattices under occupation defects","authors":"Tanausú Hernández Yanes, Youcef Bamaara, Alice Sinatra, Emilia Witkowska","doi":"arxiv-2409.02873","DOIUrl":"https://doi.org/arxiv-2409.02873","url":null,"abstract":"Bell non-locality stems from quantum correlations effectively identified\u0000using inequalities. Spin chains, simulated with ultra-cold atoms in optical\u0000lattices, Rydberg atoms in tweezer arrays, trapped ions, or molecules, allow\u0000single-spin control and measurement. Therefore, they are suitable for studying\u0000fundamental aspects of these correlations and non-locality. Occupation defects,\u0000such as vacancies or multiple atoms occupying a single site due to imperfect\u0000system preparation, limit the detection of Bell correlations. We investigate\u0000their impact using a simplified toy model parameterized by the probability of a\u0000site being singly occupied. We derive the corresponding Bell inequality and\u0000identify the smallest probability that establishes a lower bound for detecting\u0000Bell correlations. We relate the bound to two physical parameters leading to\u0000defects in occupations: non-zero temperature and filling factor, focusing on\u0000entangled ultra-cold atoms in optical lattices. Finally, we numerically\u0000validate the predictions of the toy model by full many-body simulations.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176115","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}
Sonali Gangwar, Rajamanickam Ravisankar, S. I. Mistakidis, Paulsamy Muruganandam, Pankaj Kumar Mishra
We explore the ground states and quench dynamics of one-dimensional quantum droplets with spin-orbit coupling (SOC) and an imbalance in intracomponent interactions. A plethora of miscible ground state stripe and standard (i.e., non-modulated) droplets is found depending on the SOC wavenumber and building upon Gaussian to flat-top background for increasing (decreasing) atom number (interactions). Deformations among the states were accompanied by spin population transfer caused by the Rabi coupling and could be controlled by adjusting the interactions or the SOC parameters. When considering a trap, we identified a transition from a bound to a trapped gas many-body state, characterized by a sign change of the chemical potential, which occurred at lower (larger) atom numbers for tighter traps (stronger interactions). The droplet's breathing motion was accompanied by minor population transfer, and its frequency increases for a larger intracomponent interaction ratio or reaching a maximum at SOC wavenumbers, where the transition from non-modulated flat-top to stripe droplets occurred. We witness droplet fragmentation for abrupt changes in the Rabi coupling while large amplitude quenches of the SOC wavenumber trigger spin-demixing, resulting in constant amplitude but opposite direction motion of untrapped droplets or in-trap out-of-phase oscillating droplets. Our findings have implications for controlled spin-demixing processes of droplets and the excitation of relevant magnetic bound states.
{"title":"Interaction imbalanced spin-orbit coupled quantum droplets","authors":"Sonali Gangwar, Rajamanickam Ravisankar, S. I. Mistakidis, Paulsamy Muruganandam, Pankaj Kumar Mishra","doi":"arxiv-2409.01945","DOIUrl":"https://doi.org/arxiv-2409.01945","url":null,"abstract":"We explore the ground states and quench dynamics of one-dimensional quantum\u0000droplets with spin-orbit coupling (SOC) and an imbalance in intracomponent\u0000interactions. A plethora of miscible ground state stripe and standard (i.e.,\u0000non-modulated) droplets is found depending on the SOC wavenumber and building\u0000upon Gaussian to flat-top background for increasing (decreasing) atom number\u0000(interactions). Deformations among the states were accompanied by spin\u0000population transfer caused by the Rabi coupling and could be controlled by\u0000adjusting the interactions or the SOC parameters. When considering a trap, we\u0000identified a transition from a bound to a trapped gas many-body state,\u0000characterized by a sign change of the chemical potential, which occurred at\u0000lower (larger) atom numbers for tighter traps (stronger interactions). The\u0000droplet's breathing motion was accompanied by minor population transfer, and\u0000its frequency increases for a larger intracomponent interaction ratio or\u0000reaching a maximum at SOC wavenumbers, where the transition from non-modulated\u0000flat-top to stripe droplets occurred. We witness droplet fragmentation for\u0000abrupt changes in the Rabi coupling while large amplitude quenches of the SOC\u0000wavenumber trigger spin-demixing, resulting in constant amplitude but opposite\u0000direction motion of untrapped droplets or in-trap out-of-phase oscillating\u0000droplets. Our findings have implications for controlled spin-demixing processes\u0000of droplets and the excitation of relevant magnetic bound states.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176119","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 universal relations for spin-$1/2$ fermions with contact interaction in the presence of quenched disorder are discussed. The disorder is modeled by a random external potential with the Gaussian distribution and $delta$-like two-point correlation function. Utilizing simple scaling arguments, the renormalizability of the theory, and the Hellmann-Feynman theorem we identified the large-momentum tail of particle distribution and analog of Tan's energy relation for many-fermion systems with disorder in arbitrary dimension $dge 2$. It is shown that the energy-pressure relation manifests a kind of scale anomaly in two and three dimensions.
{"title":"`Triviality' of universal relations for disordered systems","authors":"V. Pastukhov","doi":"arxiv-2409.01271","DOIUrl":"https://doi.org/arxiv-2409.01271","url":null,"abstract":"The universal relations for spin-$1/2$ fermions with contact interaction in\u0000the presence of quenched disorder are discussed. The disorder is modeled by a\u0000random external potential with the Gaussian distribution and $delta$-like\u0000two-point correlation function. Utilizing simple scaling arguments, the\u0000renormalizability of the theory, and the Hellmann-Feynman theorem we identified\u0000the large-momentum tail of particle distribution and analog of Tan's energy\u0000relation for many-fermion systems with disorder in arbitrary dimension $dge\u00002$. It is shown that the energy-pressure relation manifests a kind of scale\u0000anomaly in two and three dimensions.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176120","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}
Subwavelength atomic arrays constitute a novel light-matter platform with long-range interactions and collective dissipation that can host novel non-equilibrium many-body states. Here we investigate their steady states under coherent driving. While in the low-drive intensity regime they have often been described in terms of linear, non-interacting theories, we show that such a description is inadequate in subwavelength regimes. There, we point out that non-linearities can have large effects down to a vanishing drive intensity in the limit of large number of atoms. Then we investigate the role of fluctuations beyond Gutzwiller mean-field theory within a Dynamical Mean Field Theory (DMFT) approach in the regime of intermediate drive intensity. We show that these have a dramatic impact on the steady-state phase diagram, including suppressing a range of non-homogeneous instabilities and phases predicted in mean-field theory.
{"title":"Non-linear steady states of subwavelength atomic arrays at low light intensities and beyond mean field","authors":"Orazio Scarlatella, Nigel R. Cooper","doi":"arxiv-2409.01386","DOIUrl":"https://doi.org/arxiv-2409.01386","url":null,"abstract":"Subwavelength atomic arrays constitute a novel light-matter platform with\u0000long-range interactions and collective dissipation that can host novel\u0000non-equilibrium many-body states. Here we investigate their steady states under\u0000coherent driving. While in the low-drive intensity regime they have often been\u0000described in terms of linear, non-interacting theories, we show that such a\u0000description is inadequate in subwavelength regimes. There, we point out that\u0000non-linearities can have large effects down to a vanishing drive intensity in\u0000the limit of large number of atoms. Then we investigate the role of\u0000fluctuations beyond Gutzwiller mean-field theory within a Dynamical Mean Field\u0000Theory (DMFT) approach in the regime of intermediate drive intensity. We show\u0000that these have a dramatic impact on the steady-state phase diagram, including\u0000suppressing a range of non-homogeneous instabilities and phases predicted in\u0000mean-field theory.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176117","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}
Disordered hyperuniform many-body systems are exotic states of matter with novel optical, transport, and mechanical properties. These systems are characterized by an anomalous suppression of large-scale density fluctuations compared to typical liquids, i.e., the structure factor obeys the scaling relation $S(k)sim mathcal{B}k^alpha$ with $mathcal{B}, alpha>0$ in the limit $k$,$rightarrow$,$ 0$. Ground-state $d$-dimensional free fermionic gases, which are fundamental models for many metals and semiconductors, are key examples of textit{quantum} disordered hyperuniform states with important connections to random matrix theory. However, the effects of electron-electron interactions as well as the polarization of the electron liquid on hyperuniformity have not been explored thus far. In this work, we systematically address these questions by deriving the analytical small-$k$ behaviors (and associatedly, $alpha$ and $mathcal{B}$) of the total and spin-resolved structure factors of quasi-1D, 2D, and 3D electron liquids for varying polarizations and interaction parameters. We validate that these equilibrium disordered ground states are hyperuniform, as dictated by the fluctuation-compressibility relation. Interestingly, free fermions, partially polarized interacting fermions, and fully polarized interacting fermions are characterized by different values of the small-$k$ scaling exponent $alpha$ and coefficient $mathcal{B}$. In particular, partially polarized fermionic liquids exhibit a unique form of textit{multihyperuniformity}, in which the net configuration exhibits a stronger form of hyperuniformity (i.e., larger $alpha$) than each individual spin component.
{"title":"Correlations in interacting electron liquids: Many-body statistics and hyperuniformity","authors":"Haina Wang, Rhine Samajdar, Salvatore Torquato","doi":"arxiv-2409.01381","DOIUrl":"https://doi.org/arxiv-2409.01381","url":null,"abstract":"Disordered hyperuniform many-body systems are exotic states of matter with\u0000novel optical, transport, and mechanical properties. These systems are\u0000characterized by an anomalous suppression of large-scale density fluctuations\u0000compared to typical liquids, i.e., the structure factor obeys the scaling\u0000relation $S(k)sim mathcal{B}k^alpha$ with $mathcal{B}, alpha>0$ in the\u0000limit $k$,$rightarrow$,$ 0$. Ground-state $d$-dimensional free fermionic\u0000gases, which are fundamental models for many metals and semiconductors, are key\u0000examples of textit{quantum} disordered hyperuniform states with important\u0000connections to random matrix theory. However, the effects of electron-electron\u0000interactions as well as the polarization of the electron liquid on\u0000hyperuniformity have not been explored thus far. In this work, we\u0000systematically address these questions by deriving the analytical small-$k$\u0000behaviors (and associatedly, $alpha$ and $mathcal{B}$) of the total and\u0000spin-resolved structure factors of quasi-1D, 2D, and 3D electron liquids for\u0000varying polarizations and interaction parameters. We validate that these\u0000equilibrium disordered ground states are hyperuniform, as dictated by the\u0000fluctuation-compressibility relation. Interestingly, free fermions, partially\u0000polarized interacting fermions, and fully polarized interacting fermions are\u0000characterized by different values of the small-$k$ scaling exponent $alpha$\u0000and coefficient $mathcal{B}$. In particular, partially polarized fermionic\u0000liquids exhibit a unique form of textit{multihyperuniformity}, in which the\u0000net configuration exhibits a stronger form of hyperuniformity (i.e., larger\u0000$alpha$) than each individual spin component.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176118","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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