Guilherme Catumba, Atsuki Hiraguchi, Wei-Shu Hou, Karl Jansen, Ying-Jer Kao, C. -J. David Lin, Alberto Ramos, Mugdha Sarkar
Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interesting pseudogap phase of cuprate superconductors near optimal doping may be explained by an emergent $SU(2)$ gauge symmetry. Around the transition with positive hole-doping, one can construct a $(2+1)-$dimensional $SU(2)$ gauge theory coupled to four adjoint scalar fields which gives rise to a rich phase diagram with a myriad of phases having different broken symmetries. We study the phase diagram of this model on the Euclidean lattice using the Hybrid Monte Carlo algorithm. We find the existence of multiple broken phases as predicted by previous mean field studies. Depending on the quartic couplings, the $SU(2)$ gauge symmetry is broken down either to $U(1)$ or $mathbb{Z}_2$ in the perturbative description of the model. We further study the confinement-deconfinement transition in this theory, and find that both the broken phases are deconfining. However, there exists a marked difference in the behavior of the Polyakov loop between the two phases.
{"title":"Lattice study of SU(2) gauge theory coupled to four adjoint Higgs fields","authors":"Guilherme Catumba, Atsuki Hiraguchi, Wei-Shu Hou, Karl Jansen, Ying-Jer Kao, C. -J. David Lin, Alberto Ramos, Mugdha Sarkar","doi":"arxiv-2407.15422","DOIUrl":"https://doi.org/arxiv-2407.15422","url":null,"abstract":"Gauge theories with matter fields in various representations play an\u0000important role in different branches of physics. Recently, it was proposed that\u0000several aspects of the interesting pseudogap phase of cuprate superconductors\u0000near optimal doping may be explained by an emergent $SU(2)$ gauge symmetry.\u0000Around the transition with positive hole-doping, one can construct a\u0000$(2+1)-$dimensional $SU(2)$ gauge theory coupled to four adjoint scalar fields\u0000which gives rise to a rich phase diagram with a myriad of phases having\u0000different broken symmetries. We study the phase diagram of this model on the\u0000Euclidean lattice using the Hybrid Monte Carlo algorithm. We find the existence\u0000of multiple broken phases as predicted by previous mean field studies.\u0000Depending on the quartic couplings, the $SU(2)$ gauge symmetry is broken down\u0000either to $U(1)$ or $mathbb{Z}_2$ in the perturbative description of the\u0000model. We further study the confinement-deconfinement transition in this\u0000theory, and find that both the broken phases are deconfining. However, there\u0000exists a marked difference in the behavior of the Polyakov loop between the two\u0000phases.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141785859","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}
Mykhailo V. Rakov, Luca Tagliacozzo, Maciej Lewenstein, Jakub Zakrzewski, Titas Chanda
We investigate a quasi-two-dimensional system consisting of two species of alkali atoms confined in a specific optical lattice potential [Phys. Rev. A 95, 053608 (2017)]. In the low-energy regime, this system is governed by a unique $mathbb{Z}_N$ gauge theory, where field theory arguments have suggested that it may exhibit two exotic gapless deconfined phases, namely a dipolar liquid phase and a Bose liquid phase, along with two gapped (confined and deconfined) phases. We address these predictions numerically by using large-scale density matrix renormalization group simulations. Our findings provide conclusive evidence for the existence of a gapless Bose liquid phase for $N geq 7$. We demonstrate that this gapless phase shares the same critical properties as one-dimensional critical phases, resembling weakly coupled chains of Luttinger liquids. In the range of geometries and $N$ considered, the gapless dipolar phase predicted theoretically is still elusive and its characterization will probably require a full two-dimensional treatment.
{"title":"Gapless deconfined phase in a $mathbb{Z}_N$ symmetric Hamiltonian created in a cold-atom setup","authors":"Mykhailo V. Rakov, Luca Tagliacozzo, Maciej Lewenstein, Jakub Zakrzewski, Titas Chanda","doi":"arxiv-2407.12109","DOIUrl":"https://doi.org/arxiv-2407.12109","url":null,"abstract":"We investigate a quasi-two-dimensional system consisting of two species of\u0000alkali atoms confined in a specific optical lattice potential [Phys. Rev. A 95,\u0000053608 (2017)]. In the low-energy regime, this system is governed by a unique\u0000$mathbb{Z}_N$ gauge theory, where field theory arguments have suggested that\u0000it may exhibit two exotic gapless deconfined phases, namely a dipolar liquid\u0000phase and a Bose liquid phase, along with two gapped (confined and deconfined)\u0000phases. We address these predictions numerically by using large-scale density\u0000matrix renormalization group simulations. Our findings provide conclusive\u0000evidence for the existence of a gapless Bose liquid phase for $N geq 7$. We\u0000demonstrate that this gapless phase shares the same critical properties as\u0000one-dimensional critical phases, resembling weakly coupled chains of Luttinger\u0000liquids. In the range of geometries and $N$ considered, the gapless dipolar\u0000phase predicted theoretically is still elusive and its characterization will\u0000probably require a full two-dimensional treatment.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744568","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}
Henry Froland, Torsten V. Zache, Robert Ott, Niklas Mueller
Rapidly growing capabilities of quantum simulators to probe quantum many-body phenomena require new methods to characterize increasingly complex states. We present a protocol that constrains quantum states by experimentally measured correlation functions which only scales polynomially with system size. This method enables measurement of a quantum state's entanglement structure, opening a new route to study entanglement-related phenomena. Our approach extends Gaussian state parameterizations by systematically incorporating higher-order correlations. We show the protocol's usefulness in conjunction with current and forthcoming experimental capabilities, focusing on weakly interacting fermions as a proof of concept. Here, the lowest non-trivial expansion quantitatively predicts early time thermalization dynamics, including signaling the on-set of quantum chaos indicated by the entanglement Hamiltonian.
{"title":"Entanglement Structure of Non-Gaussian States and How to Measure It","authors":"Henry Froland, Torsten V. Zache, Robert Ott, Niklas Mueller","doi":"arxiv-2407.12083","DOIUrl":"https://doi.org/arxiv-2407.12083","url":null,"abstract":"Rapidly growing capabilities of quantum simulators to probe quantum many-body\u0000phenomena require new methods to characterize increasingly complex states. We\u0000present a protocol that constrains quantum states by experimentally measured\u0000correlation functions which only scales polynomially with system size. This\u0000method enables measurement of a quantum state's entanglement structure, opening\u0000a new route to study entanglement-related phenomena. Our approach extends\u0000Gaussian state parameterizations by systematically incorporating higher-order\u0000correlations. We show the protocol's usefulness in conjunction with current and\u0000forthcoming experimental capabilities, focusing on weakly interacting fermions\u0000as a proof of concept. Here, the lowest non-trivial expansion quantitatively\u0000predicts early time thermalization dynamics, including signaling the on-set of\u0000quantum chaos indicated by the entanglement Hamiltonian.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744569","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}
Mari Carmen Bañuls, Krzysztof Cichy, Hao-Ti Hung, Ying-Jer Kao, C. -J. David Lin, Amit Singh
Using tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases, and study the appearance of dynamical quantum phase transitions, as non-analyticities in the Loschmidt rate. Whereas the presence of a dynamical quantum phase transition in the model does not correspond to quenches across the critical line of the equilibrium phase diagram at zero temperature, we identify a threshold in the energy density of the initial state, necessary for a dynamical quantum phase transition to be present. Moreover, in the case of the gapped quench Hamiltonian, we unveil a connection of this threshold to a transition between different regions in the finite temperature phase diagram.
{"title":"Dynamical Quantum Phase Transition and Thermal Equilibrium in the Lattice Thirring Model","authors":"Mari Carmen Bañuls, Krzysztof Cichy, Hao-Ti Hung, Ying-Jer Kao, C. -J. David Lin, Amit Singh","doi":"arxiv-2407.11295","DOIUrl":"https://doi.org/arxiv-2407.11295","url":null,"abstract":"Using tensor network methods, we simulate the real-time evolution of the\u0000lattice Thirring model quenched out of equilibrium in both the critical and\u0000massive phases, and study the appearance of dynamical quantum phase\u0000transitions, as non-analyticities in the Loschmidt rate. Whereas the presence\u0000of a dynamical quantum phase transition in the model does not correspond to\u0000quenches across the critical line of the equilibrium phase diagram at zero\u0000temperature, we identify a threshold in the energy density of the initial\u0000state, necessary for a dynamical quantum phase transition to be present.\u0000Moreover, in the case of the gapped quench Hamiltonian, we unveil a connection\u0000of this threshold to a transition between different regions in the finite\u0000temperature phase diagram.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720290","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}
Swagato Mukherjee, Dennis Bollweg, Xiang Gao, Yong Zhao
We present the first lattice QCD calculation of the rapidity anomalous dimension of transverse-momentum-dependent distributions (TMDs), i.e. the Collins-Soper (CS) kernel, employing the recently proposed Coulomb-gauge-fixed quasi-TMD formalism as well as a chiral-symmetry preserving lattice discretization. This unitary lattice calculation is conducted using the domain wall fermion discretization scheme, a fine lattice spacing of approximately 0.08 fm, and physical values for light and strange quark masses. The CS kernel is determined analyzing the ratios of pion quasi-TMD wave functions (quasi-TMDWFs) at next-to-leading logarithmic (NLL) perturbative accuracy. Thanks to the absence of Wilson-lines, the Coulomb-gauge-fixed quasi-TMDWF demonstrates a remarkably slower decay of signals with increasing quark separations. This allows us to access the non-perturbative CS kernel up to transverse separations of 1 fm. For small transverse separations, our results agree well with perturbative predictions. At larger transverse separations, our non-perturbative CS kernel clearly favors certain global fits.
我们采用最近提出的库仑-量规-固定准TMD形式主义以及保持手性对称的晶格离散化，首次提出了横向动量相关分布（TMDs）（即柯林斯-索珀（CS）核）的快速性反常尺寸的晶格QCD计算。这种单元晶格计算采用域墙费米子离散化方案、约 0.08 fm 的精细晶格间距以及轻夸克和奇异夸克质量的物理值。由于不存在威尔逊线，库仑定律固定的准TMDWF显示出随着夸克间隔的增加，信号的衰减速度明显减慢。这使我们能够获得横向间隔达 1 fm 的非微扰 CS 核。对于较小的横向间隔，我们的结果与微扰预测一致。在较大的横向间隔下，我们的非微扰CS核明显倾向于某些全局拟合。
{"title":"Non-perturbative Collins-Soper kernel: Chiral quarks and Coulomb-gauge-fixed quasi-TMD","authors":"Swagato Mukherjee, Dennis Bollweg, Xiang Gao, Yong Zhao","doi":"arxiv-2407.10739","DOIUrl":"https://doi.org/arxiv-2407.10739","url":null,"abstract":"We present the first lattice QCD calculation of the rapidity anomalous\u0000dimension of transverse-momentum-dependent distributions (TMDs), i.e. the\u0000Collins-Soper (CS) kernel, employing the recently proposed Coulomb-gauge-fixed\u0000quasi-TMD formalism as well as a chiral-symmetry preserving lattice\u0000discretization. This unitary lattice calculation is conducted using the domain\u0000wall fermion discretization scheme, a fine lattice spacing of approximately\u00000.08 fm, and physical values for light and strange quark masses. The CS kernel\u0000is determined analyzing the ratios of pion quasi-TMD wave functions\u0000(quasi-TMDWFs) at next-to-leading logarithmic (NLL) perturbative accuracy.\u0000Thanks to the absence of Wilson-lines, the Coulomb-gauge-fixed quasi-TMDWF\u0000demonstrates a remarkably slower decay of signals with increasing quark\u0000separations. This allows us to access the non-perturbative CS kernel up to\u0000transverse separations of 1 fm. For small transverse separations, our results\u0000agree well with perturbative predictions. At larger transverse separations, our\u0000non-perturbative CS kernel clearly favors certain global fits.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720310","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 phase structure of the (1+1)-dimensional U(1) gauge-Higgs model with a $theta$ term, where the U(1) gauge action is constructed with L"uscher's admissibility condition. Using the tensor renormalization group, both the complex action problem and topological freezing problem in the standard Monte Carlo simulation are avoided. We find the first-order phase transition with sufficiently large Higgs mass at $theta=pi$, where the $mathbb{Z}_2$ charge conjugation symmetry is spontaneously broken. On the other hand, the symmetry is restored with a sufficiently small mass. We determine the critical endpoint as a function of the Higgs mass parameter and show the critical behavior is in the two-dimensional Ising universality class.
{"title":"Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $θ=π$ with Lüscher's admissibility condition","authors":"Shinichiro Akiyama, Yoshinobu Kuramashi","doi":"arxiv-2407.10409","DOIUrl":"https://doi.org/arxiv-2407.10409","url":null,"abstract":"We investigate the phase structure of the (1+1)-dimensional U(1) gauge-Higgs\u0000model with a $theta$ term, where the U(1) gauge action is constructed with\u0000L\"uscher's admissibility condition. Using the tensor renormalization group,\u0000both the complex action problem and topological freezing problem in the\u0000standard Monte Carlo simulation are avoided. We find the first-order phase\u0000transition with sufficiently large Higgs mass at $theta=pi$, where the\u0000$mathbb{Z}_2$ charge conjugation symmetry is spontaneously broken. On the\u0000other hand, the symmetry is restored with a sufficiently small mass. We\u0000determine the critical endpoint as a function of the Higgs mass parameter and\u0000show the critical behavior is in the two-dimensional Ising universality class.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720291","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}
B. Colquhoun, A. Francis, R. J. Hudspith, R. Lewis, K. Maltman, W. G. Parrott
We update earlier lattice results for the binding energies of the flavor antitriplet of strong-interaction-stable doubly bottom, $J^P=1^+$ tetraquarks, employing an extended sink construction which produces significantly improved ground-state effective-mass plateaus, as well as new, larger-volume ensembles which reduce possible finite-volume effects at lighter pion masses. The updated bindings are $115(17)$ MeV for the $I=0$ member of the antitriplet and $47(8)$ MeV for its $I=1/2$ partner. We also provide an update of our earlier study of the variable heavy mass dependence of binding in the $1^+$ channel and new results on this dependence for binding in the $0^+$ channel, accessible when the two heavy quarks have unequal masses. Implications of these results of potential relevance to experimental searches for signals of the production of doubly bottom tetraquarks and/or a possible bottom-charm partner of the $T_{cc}$ are also discussed.
{"title":"Improved analysis of strong-interaction-stable doubly-bottom tetraquarks on the lattice","authors":"B. Colquhoun, A. Francis, R. J. Hudspith, R. Lewis, K. Maltman, W. G. Parrott","doi":"arxiv-2407.08816","DOIUrl":"https://doi.org/arxiv-2407.08816","url":null,"abstract":"We update earlier lattice results for the binding energies of the flavor\u0000antitriplet of strong-interaction-stable doubly bottom, $J^P=1^+$ tetraquarks,\u0000employing an extended sink construction which produces significantly improved\u0000ground-state effective-mass plateaus, as well as new, larger-volume ensembles\u0000which reduce possible finite-volume effects at lighter pion masses. The updated\u0000bindings are $115(17)$ MeV for the $I=0$ member of the antitriplet and $47(8)$\u0000MeV for its $I=1/2$ partner. We also provide an update of our earlier study of\u0000the variable heavy mass dependence of binding in the $1^+$ channel and new\u0000results on this dependence for binding in the $0^+$ channel, accessible when\u0000the two heavy quarks have unequal masses. Implications of these results of\u0000potential relevance to experimental searches for signals of the production of\u0000doubly bottom tetraquarks and/or a possible bottom-charm partner of the\u0000$T_{cc}$ are also discussed.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"73 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720292","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 full QCD with (2+1)-flavour of HISQ fermions at the physical point in the presence of uniform Abelian chromomagnetic background fields. Our focus is on the renormalized light and strange chiral condensate around the pseudo-critical temperature. We find that in the confined region the gauge system is subjected to the chromomagnetic catalysis that turns into the inverse catalysis in the high-temperature regime. We further observe that the chiral condensates are subjected to the so-called thermal hysteresis. Our estimate of the deconfinement temperature indicates that the critical temperature begins to decrease in the small field region, soon after it seems to saturate and finally increase with the strength of the chromomagnetic field.
{"title":"QCD with (2+1) flavors at the physical point in external chromomagnetic fields","authors":"Paolo Cea, Leonardo Cosmai","doi":"arxiv-2407.06578","DOIUrl":"https://doi.org/arxiv-2407.06578","url":null,"abstract":"We investigate full QCD with (2+1)-flavour of HISQ fermions at the physical\u0000point in the presence of uniform Abelian chromomagnetic background fields. Our\u0000focus is on the renormalized light and strange chiral condensate around the\u0000pseudo-critical temperature. We find that in the confined region the gauge\u0000system is subjected to the chromomagnetic catalysis that turns into the inverse\u0000catalysis in the high-temperature regime. We further observe that the chiral\u0000condensates are subjected to the so-called thermal hysteresis. Our estimate of\u0000the deconfinement temperature indicates that the critical temperature begins to\u0000decrease in the small field region, soon after it seems to saturate and finally\u0000increase with the strength of the chromomagnetic field.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577095","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}
Spectral densities connect correlation functions computed in quantum field theory to observables measured in experiments. For strongly-interacting theories, their non-perturbative determinations from lattice simulations are therefore of primary importance. They entail the inverse Laplace transform of correlation functions calculated in Euclidean time. By making use of the Mellin transform, we derive explicit analytic formulae to define spectral densities from the time dependence of correlation functions, both in the continuum and on the lattice. The generalization to smeared spectral densities turns out to be straightforward. The formulae obtained here within the context of lattice field theory can be easily applied or extended to other areas of research.
{"title":"Spectral densities from Euclidean lattice correlators via the Mellin transform","authors":"Mattia Bruno, Leonardo Giusti, Matteo Saccardi","doi":"arxiv-2407.04141","DOIUrl":"https://doi.org/arxiv-2407.04141","url":null,"abstract":"Spectral densities connect correlation functions computed in quantum field\u0000theory to observables measured in experiments. For strongly-interacting\u0000theories, their non-perturbative determinations from lattice simulations are\u0000therefore of primary importance. They entail the inverse Laplace transform of\u0000correlation functions calculated in Euclidean time. By making use of the Mellin\u0000transform, we derive explicit analytic formulae to define spectral densities\u0000from the time dependence of correlation functions, both in the continuum and on\u0000the lattice. The generalization to smeared spectral densities turns out to be\u0000straightforward. The formulae obtained here within the context of lattice field\u0000theory can be easily applied or extended to other areas of research.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577098","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}
Jesse J. Osborne, Johannes Knaute, Ian P. McCulloch, Jad C. Halimeh
Dynamical quantum phase transitions (DQPTs) have been established as a rigorous framework for investigating far-from-equilibrium quantum many-body criticality. Although initially thought to be trivially connected to an order parameter flipping sign, a certain kind of textit{anomalous} DQPTs have been discovered that exhibit no direct connection to the order parameter and have been shown to arise in the presence of confinement. Here, we show in two paradigmatic models how the onset time of anomalous DQPTs is directly connected, through a power law, to the meson mass in the confined regime of a global symmetry-broken phase. This relation becomes more prominent the closer the initial parameters are to the equilibrium quantum critical point, where a relativistic quantum field theory emerges. Our findings draw a direct connection between mesons and anomalous DQPTs, highlighting the power of the latter to classify exotic far-from-equilibrium criticality.
{"title":"Meson Mass Sets Onset Time of Anomalous Dynamical Quantum Phase Transitions","authors":"Jesse J. Osborne, Johannes Knaute, Ian P. McCulloch, Jad C. Halimeh","doi":"arxiv-2407.03394","DOIUrl":"https://doi.org/arxiv-2407.03394","url":null,"abstract":"Dynamical quantum phase transitions (DQPTs) have been established as a\u0000rigorous framework for investigating far-from-equilibrium quantum many-body\u0000criticality. Although initially thought to be trivially connected to an order\u0000parameter flipping sign, a certain kind of textit{anomalous} DQPTs have been\u0000discovered that exhibit no direct connection to the order parameter and have\u0000been shown to arise in the presence of confinement. Here, we show in two\u0000paradigmatic models how the onset time of anomalous DQPTs is directly\u0000connected, through a power law, to the meson mass in the confined regime of a\u0000global symmetry-broken phase. This relation becomes more prominent the closer\u0000the initial parameters are to the equilibrium quantum critical point, where a\u0000relativistic quantum field theory emerges. Our findings draw a direct\u0000connection between mesons and anomalous DQPTs, highlighting the power of the\u0000latter to classify exotic far-from-equilibrium criticality.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577096","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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