Excited-state quantum phase transitions in systems with two degrees of freedom: II. Finite-size effects

Stránský, Pavel; Macek, Michal; Leviatan, A.; Cejnar, Pavel

doi:10.1016/j.aop.2015.02.025

Cited by 69 publications

(90 citation statements)

References 23 publications

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“…They could have important effects in decoherence [35] and in the temporal evolution for quantum quenches [36]. It is strongly suggested that the relation between the ESQPT and chaos is dependent on the system [37].…”

Section: Arxiv:150905918v1 [Quant-ph] 19 Sep 2015mentioning

confidence: 99%

Delocalization and quantum chaos in atom-field systems

et al. 2016

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Employing efficient diagonalization techniques, we perform a detailed quantitative study of the regular and chaotic regions in phase space in the simplest non-integrable atom-field system, the Dicke model. A close correlation between the classical Lyapunov exponents and the quantum Participation Ratio of coherent states on the eigenenergy basis is exhibited for different points in the phase space. It is also shown that the Participation Ratio scales linearly with the number of atoms in chaotic regions, and with its square root in the regular ones.

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Section: Arxiv:150905918v1 [Quant-ph] 19 Sep 2015mentioning

confidence: 99%

Delocalization and quantum chaos in atom-field systems

et al. 2016

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“…More recently, considerable attention has been given to the so-called excited-state quantum phase transition (ESQPT) [6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Unlike GSQPT, an ESQPT can occur not only with variation of the control parameters of a model Hamiltonian, but also with the increasing of the excitation energy.…”

Section: Introductionmentioning

confidence: 99%

Excited-state quantum phase transitions in the interacting boson model: Spectral characteristics of0+states and effective order parameter

2016

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The spectral characteristics of the L π = 0 + excited-states in the interacting boson model are systematically investigated. It is found that various types of excited-state quantum phase transitions may widely occur in the model as functions of the excitation energy, which indicates that the phase diagram of the interacting boson model can be dynamically extended along the direction of the excitation energy. It has also been justified that the d-boson occupation probability ρ(E) is qualified to be taken as the effective order parameter to identify these excited-state quantum phase transitions. In addition, the underlying relation between the excite-state quantum phase transition and the chaotic dynamics is also stated.

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“…A natural extension of the qpt into excited spectra is the Excited-State Quantum Phase Transition (esqpt) [3,4,5,6,7,8]. It shows up as a singularity that begins in the qpt critical point λ c at ground-state energy and continues into the (λ × energy) plane along the curve called critical borderline.…”

Section: Introductionmentioning

confidence: 99%

“…A question appears what happens when λ is varied near the esqpt. For this reason it is convenient to introduce the average flow rateφ(E, λ) of the spectrum [7]. This quantity represents a normalized average slope of the spectrum in the level…”

mentioning

confidence: 99%

Excited-state quantum phase transitions and their manifestations in an extended Dicke model

Stránský

Kloc

Cejnar

2017

AIP Conference Proceedings

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Abstract. An Excited-State Quantum Phase Transition (esqpt) is a singularity observed in quantum energy spectra in the infinitesize limit of the system. It originates in the existence of stationary points in the semiclassical Hamiltonian function. We review the classification of esqpts and present a case study in an extended Dicke model. Finally, we show some preliminary results on the dynamical effect induced by esqpts.

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Excited-state quantum phase transitions in systems with two degrees of freedom: II. Finite-size effects

Cited by 69 publications

References 23 publications

Delocalization and quantum chaos in atom-field systems

Delocalization and quantum chaos in atom-field systems

Excited-state quantum phase transitions in the interacting boson model: Spectral characteristics of0+states and effective order parameter

Excited-state quantum phase transitions and their manifestations in an extended Dicke model

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