Dynamical quantum phase transitions following double quenches: persistence of the initial state vs dynamical phases

Cheraghi, Hadi; Sedlmayr, Nicholas

doi:10.1088/1367-2630/ad016e

Cited by 10 publications

(2 citation statements)

References 117 publications

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“…In Ref. 45 although the authors studied the effect of the DMI on the quantum speed limit and orthogonality catastrophe under sudden quantum quenches, their results spontaneously affirmed the robustness of the initial quantum spin fluctuations against the DMI in a nonequilibrium quantum system which can be also interpreted as the persistence of the initial state versus dynamical phases 46 , 47 . This resiliency also can be observed in the behavior of the spin-spin correlation functions in the equilibrium 48 .…”

Section: Introductionmentioning

confidence: 88%

Resilience of quantum spin fluctuations against Dzyaloshinskii–Moriya interaction

Mahdavifar,

Salehpour,

Cheraghi

et al. 2024

Sci Rep

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In low-dimensional systems, the lack of structural inversion symmetry combined with the spin-orbit coupling gives rise to an anisotropic antisymmetric superexchange known as the Dzyaloshinskii–Moriya interaction (DMI). Various features have been reported due to the presence of DMIs in quantum systems. We here study the one-dimensional spin-1/2 transverse field XY chains with a DMI at zero temperature. Our focus is on the quantum fluctuations of the spins measured by the spin squeezing and the entanglement entropy. We find that these fluctuations are resistant to the effect of the DMI in the system. This resistance will fail as soon as the system is placed in the chiral phase where its state behaves as a squeezed state, suggesting the merit of the chiral phase to be used for quantum metrology. Remarkably, we prove that the central charge vanishes on the critical lines between gapless chiral and ferromagnetic/paramagnetic phases where there is no critical scaling versus the system size for the spin squeezing parameter. Our phenomenal results provide a further understanding of the effects of the DMIs in the many-body quantum systems which may be testable in experiments.

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Section: Introductionmentioning

confidence: 88%

Resilience of quantum spin fluctuations against Dzyaloshinskii–Moriya interaction

Mahdavifar,

Salehpour,

Cheraghi

et al. 2024

Sci Rep

Self Cite

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“…The concept of DQPT emanates from the analogy between the equilibrium partition function of a system, and Loschmidt amplitude, which measures the overlap between an initial state and its time-evolved one . As the equilibrium phase transition is signaled by non-analyticities in the thermal free energy, the DQPT is revealed through the nonanalytical behavior of dynamical free energy, where the real-time plays the role of the control parameter [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60]. DQPT displays a phase transition between dynamically emerging quantum phases, that takes place during the nonequilibrium coherent quantum time evolution under sudden/ramped quench or timeperiodic modulation of Hamiltonian [16,[85][86][87][88][89][90][91].…”

Section: Introductionmentioning

confidence: 99%

Scaling and universality at ramped quench dynamical quantum phase transitions

Zamani,

Naji,

Jafari

et al. 2024

J. Phys.: Condens. Matter

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The nonequilibrium dynamics of a periodically driven extended XY model, in the presence oflinear time dependent magnetic filed, is investigated using the notion of dynamical quantum phasetransitions (DQPTs). Along the similar lines to the equilibrium phase transition, the main purposeof this work is to search the fundamental concepts such as scaling and universality at the rampedquench DQPTs. We have shown that the critical points of the model, where the gap closing occurs,can be moved by tuning the driven frequency and consequently the presence/absence of DQPTscan be flexibly controlled by adjusting the driven frequency. We have uncovered that, for a rampacross the single quantum critical point, the critical mode at which DQPTs occur is classified intothree regions: the Kibble-Zurek (KZ) region, where the critical mode scales linearly with the squareroot of the sweep velocity, pre-saturated (PS) region, and the saturated (S) region where the criticalmode makes a plateau versus the sweep velocity. While for a ramp that crosses two critical points,the critical modes disclose just KZ and PS regions. On the basis of numerical simulations, we findthat the dynamical free energy scales linerly with time, as approaches to DQPT time, with theexponent ν = 1 ± 0.01 for all sweep velocities and driven frequencies.

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The dynamical bulk boundary correspondence and dynamical quantum phase transitions in the Benalcazar–Bernevig–Hughes model

Masłowski,

Sedlmayr

2024

J. Phys.: Condens. Matter

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In this article we demonstrate that dynamical quantum phase transitions occur for an exemplary higher order topological insulator, the Benalcazar-Bernevig-Hughes model, following quenches across a topological phase boundary. A dynamical bulk boundary correspondence is also seen both in the eigenvalues of the Loschmidt overlap matrix and the boundary return rate. The latter is found from a ﬁnite size scaling analysis for which the relative simplicity of the model is crucial. Contrary to the usual two dimensional case the dynamical quantum phase transitions in this model show up as cusps in the return rate, as for a one dimensional model, rather than as cusps in its derivative as would be typical for a two dimensional model. We explain the origin of this behaviour.

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Dynamical quantum phase transitions following double quenches: persistence of the initial state vs dynamical phases

Cited by 10 publications

References 117 publications

Resilience of quantum spin fluctuations against Dzyaloshinskii–Moriya interaction

Resilience of quantum spin fluctuations against Dzyaloshinskii–Moriya interaction

Scaling and universality at ramped quench dynamical quantum phase transitions

The dynamical bulk boundary correspondence and dynamical quantum phase transitions in the Benalcazar–Bernevig–Hughes model

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