Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects

Gamito, J.; Khalouf-Rivera, Jamil; Arias, J. M.; Fernández, Pedro Pérez; Pérez‐Bernal, F.

doi:10.1103/physreve.106.044125

Cited by 11 publications

(23 citation statements)

References 87 publications

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“…Recently, the anharmonicity induced ESQPTs have attracted a lot of attention [43][44][45][46][47]. In contrast to the usual ESQPTs [3][4][5], which are associated with the ground state QPTs, the anharmonicity triggered ESQPTs are independent of the ground state QPTs and have different physical origin as compared to the usual ones.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast to the usual ESQPTs [3][4][5], which are associated with the ground state QPTs, the anharmonicity triggered ESQPTs are independent of the ground state QPTs and have different physical origin as compared to the usual ones. It has been demonstrated that the onset of anhamonicity induced ESQPTs is a consequence of the changes of the boundary in the finite dimensional Hilbert space of the system [45,46]. It is worth mentioning that the finitness of the Hilbert space of the system also results in another kind of ESQPTs, known as the static ESQPTs [9], which have no impacts on the system dynamics.…”

Section: Introductionmentioning

confidence: 99%

“…The differences between the static and anharmonicity induced ESQPTs have been pointed out in Ref. [46]. Both static and dynamical aspects of the anharmonicity induced ESQPTs have been throughly investigated in several systems [45][46][47].…”

Section: Introductionmentioning

confidence: 99%

“…[46]. Both static and dynamical aspects of the anharmonicity induced ESQPTs have been throughly investigated in several systems [45][46][47]. However, more works are still required for a better understanding of their affects and associated signatures.…”

Section: Introductionmentioning

confidence: 99%

“…The aim of the present work is to extend the studies on the effects of the anharmonicity induced ESQPTs on the system static and dynamical properties to the nonequilibrium thermodynamics. To this end, we carry out a detailed investigation on the work statistics of the anharmonic LMG model [46,47] in a sudden quench process by means of the entropy of the quantum work distribution. As a measure of the complexity of the quantum work distribution, the work distribution entropy conveys a richness of information of the statistics of nonequilibrium quantum work, and particularly it can be used as a powerful tool to diagnose the localization transition in many body systems [48].…”

Section: Introductionmentioning

confidence: 99%

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Studying the implications and characterizations of the excited state quantum phase transitions (ESQPTs) would enable us to understand various phenomena observed in quantum many body systems. In this work, we delve into the affects and characterizations of the ESQPTs in the anharmonic Lipkin-Meshkov-Glick (LMG) model by means of the entropy of the quantum work distribution. The entropy of the work distribution measures the complexity of the work distribution and behaves as a valuable tool for analyzing nonequilibrium work statistics. We show that the entropy of the work distribution captures salient signatures of the underlying ESQPTs in the model. In particular, a detailed analyses of the scaling behavior of the maximal entropy verifies that it acts as a witness of the ESQPTs. We further demonstrate that the entropy of the work distribution also reveals the features of the ESQPTs in the energy space and can be used to determine their critical energies. Our results provide further evidence of the usefulness of the entropy of the work distribution for investigating various phase transitions in quantum many body systems and open up a promising way for experimentally exploring the signatures of ESQPTs.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator

et al. 2023

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Transmon qubits are the predominant element in circuit-based quantum information processing, such as existing quantum computers, due to their controllability and ease of engineering implementation. But more than qubits, transmons are multilevel nonlinear oscillators that can be used to investigate fundamental physics questions. Here, they are explored as simulators of excited state quantum phase transitions (ESQPTs), which are generalizations of quantum phase transitions to excited states. We show that the spectral kissing (coalescence of pairs of energy levels) experimentally observed in the effective Hamiltonian of a driven SNAIL-transmon is an ESQPT precursor. We explore the dynamical consequences of the ESQPT, which include the exponential growth of out-of-time-ordered correlators, followed by periodic revivals, and the slow evolution of the survival probability due to localization. These signatures of ESQPT are within reach for current superconducting circuits platforms and are of interest to experiments with cold atoms and ion traps.

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Excited-state quantum phase transitions and Loschmidt-echo spectra in a spinor Bose-Einstein condensate

Niu

Wang

2023

Phys. Rev. A

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Phase transitions in nonequilibrium dynamics of many body quantum systems, the so-called dynamical phases transition (DPTs), play an important role for understanding various dynamical phenomena observed in different branches of physics. In general, there have two types of DPTs, the first one refers to the phase transition that is characterized by distinct evolution behaviors of a physical observable, while the second one is marked by the nonanalyticities in the rate function of the initial state survival probability. Here, we focus on such DPTs from both quantum and semiclassical perspectives in a spinor Bose-Einstein condensate (BEC), an ideal platform to investigate nonequilibrium dynamics. By using the sudden quench process, we demonstrate that the system exhibits both types of DPTs present as the control parameter quenches through the critical one, referring to as the critical quench. We show analytically how to determine the critical quenches by means of the semiclassical approach and carry out a detailed examination on both semiclassical and quantum signatures of two types of DPTs. Moreover, we further reveal that the occurrence of DPTs is closely connected to the separatrix in the underlying classical system. Our findings provide more insights into the properties of DPTs and verify the usefulness of semiclassical analysis for understanding DPTs in quantum systems with well-defined semiclassical limit.

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Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects

Cited by 11 publications

References 87 publications

Clinical value of the emergency department in screening and diagnosis of COVID-19 in China

Clinical value of the emergency department in screening and diagnosis of COVID-19 in China

Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator

Excited-state quantum phase transitions and Loschmidt-echo spectra in a spinor Bose-Einstein condensate

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