Dynamical topological quantum phase transitions at criticality

Sadrzadeh, M.; Jafari, R.; Langari, A.

doi:10.1103/physrevb.103.144305

Cited by 42 publications

(7 citation statements)

References 70 publications

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“…DQPTs have also been shown to exist in a variety of topological models [17,20,24,25,30,[67][68][69][70][71][72][73][74][75]. Crossing a topological phase boundary with a quench often results in DQPTs, but is neither necessary nor sufficient.…”

Section: Introductionmentioning

confidence: 99%

Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility

Masłowski¹,

Sedlmayr²

2020

Phys. Rev. B

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We investigate the Loschmidt amplitude and dynamical quantum phase transitions in multiband one dimensional topological insulators. For this purpose we introduce a new solvable multiband model based on the Su-Schrieffer-Heeger model, generalized to unit cells containing many atoms but with the same symmetry properties. Such models have a richer structure of dynamical quantum phase transitions than the simple two-band topological insulator models typically considered previously, with both quasiperiodic and aperiodic dynamical quantum phase transitions present. Moreover the aperiodic transitions can still occur for quenches within a single topological phase. We also investigate the boundary contributions from the presence of the topologically protected edge states of this model. Plateaus in the boundary return rate are related to the topology of the time evolving Hamiltonian, and hence to a dynamical bulk-boundary correspondence. We go on to consider the dynamics of the entanglement entropy generated after a quench, and its potential relation to the critical times of the dynamical quantum phase transitions. Finally, we investigate the fidelity susceptibility as an indicator of the topological phase transitions, and find a simple scaling law as a function of the number of bands of our multiband model which is found to be the same for both bulk and boundary fidelity susceptibilities. arXiv:1911.02831v3 [cond-mat.mes-hall] 1 Jan 2020

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Section: Introductionmentioning

confidence: 99%

Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility

Masłowski¹,

Sedlmayr²

2020

Phys. Rev. B

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“…Recently, a new research area of quantum phase transition has been investigated in nonequilibrium quantum systems, called dynamical quantum phase transitions (DQPTs) as a counterpart of equilibrium thermal phase transitions [75,76]. DQPT represents a phase transitions between dynamically emerging quantum phases, that occurs during the nonequilibrium coherent quantum time evolution under quenching [76][77][78][79][80] or time-periodic modulation of Hamiltonian [81][82][83][84][85][86][87]. In DQPT the real time acts as a control parameter analogous to temperature in conventional equilibrium phase transitions.…”

Section: Dynamical Quantum Phase Transitionmentioning

confidence: 99%

Out-of-time-order correlations and Floquet dynamical quantum phase transition

Zamani,

Jafari,

Langari

2022

Preprint

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Out-of-time-order correlators (OTOCs) progressively play an important role in different fields of physics, particularly in the non-equilibrium quantum many-body systems. In this paper, we show that OTOCs can be used to prob the Floquet dynamical quantum phase transitions (FDQPTs). We investigate the OTOCs of two exactly solvable Floquet spin models, namely: Floquet XY chain and synchronized Floquet XY model. We show that the border of driven frequency range, over which the Floquet XY model shows FDQPT, signals by the global minimum of the infinite-temperature time averaged OTOC. Moreover, our results manifest that OTOCs decay algebraically in the long time, for which the decay exponent in the FDQPT region is different from that of in the region where the system does not show FDQPTs. In addition, for the synchronized Floquet XY model, where FDQPT occurs at any driven frequency depending on the initial condition at infinite or finite temperature, the imaginary part of the OTOCs become zero whenever the system shows FDQPT.

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“…One of the most intriguing examples of studying the dynamics of quantum many-body systems in this nonequilibrium thermodynamical formulation is dynamical phase transition [23][24][25]. There has been quite a remarkable amount of activity uncovering the features of dynamical phase transition in a range of physical models * xubm2018@163.com including Hermitian [25][26][27][28][29][30][31][32][33][34] and non-Hermitian [35][36][37] systems, topological matter [38][39][40][41][42][43][44][45][46][47][48], Floquet systems [49][50][51][52][53][54][55][56][57][58], and many-body localized systems [59][60][61], etc. Dynamical phase transition, manifested as real-time singularities in time-evolving quantum system after quenching a set of control parameters of its Hamiltonian, is indeed a dynamical analogue of equilibrium phase transition.…”

Section: Introductionmentioning

confidence: 99%

The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model

Xu¹,

Wang²

2023

Preprint

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Quantum coherence will undoubtedly play a fundamental role in understanding of the dynamics of quantum many-body systems, thereby to reveal its genuine contribution is of great importance. In this paper, we specialize our discussions to the one-dimensional transverse field quantum Ising model initialized in the coherent Gibbs state. After quenching the strength of the transverse field, the effects of quantum coherence are studied by the rate function of quantum work distribution. We find that quantum coherence not only recovers the quantum phase transition destroyed by thermal fluctuations, but also generates some entirely new singularities both in the static state and dynamics. It can be manifested that these singularities are rooted in spin flips causing the sudden change of the domain boundaries of spin polarization. This work sheds new light on the fundamental connection between quantum critical phenomena and quantum coherence.

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Dynamical topological quantum phase transitions at criticality

Cited by 42 publications

References 70 publications

Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility

Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility

Out-of-time-order correlations and Floquet dynamical quantum phase transition

The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model

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