Dynamical quantum correlations after sudden quenches

Mishra, Utkarsh; Cheraghi, Hadi; Mahdavifar, S.; Jafari, R.; Akbari, Alireza

doi:10.1103/physreva.98.052338

Cited by 24 publications

(9 citation statements)

References 79 publications

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“…[ 70 ] Additionally, dynamical behaviors of quantum correlations after sudden quenches were examined. [ 71 ] In the following, by analyzing the rate function and Fisher zeros, we will show that the JW‐MF approach can assess the critical times. In an interesting outcome, we will indicate that although in some quenches two Fisher zeros or in others, no Fisher zero shows up but still the long‐time average of the rate function can signal signatures of the nonequilibrium quantum phase transitions precisely at the QCPs.…”

Section: Resultsmentioning

confidence: 99%

Dynamical Quantum Phase Transitions in the 1D Nonintegrable Spin‐1/2 Transverse Field XZZ Model

Cheraghi

Mahdavifar

2021

Annalen der Physik

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Using the Jordan–Wigner mean‐field (JW‐MF) approach, the dynamical quantum phase transition (DQPT) in the 1D spin‐1/2 XZZ model is studied, where the presence of the transverse magnetic field breaks the U(1) symmetry of the Hamiltonian and leads to loss of integrability. In the time evolution of the rate function, three kinds of behaviors will emerge: regular and irregular nonanalytic, and also regular analytic. Examples are given where the rate function shows the regular analytic can appear albeit a quench is crossed from a quantum critical point (QCP) and examples where the irregular nonanalyticity behaviors can arise in both quenching into the same phase and exceeded from a QCP. All the regular nonanalyticity behaviors at periodic instants t∗ happen when quenches cross from a QCP. In order to achieve a confirmation on our results, the long‐time average of the rate function is determined and show the occurrence of the nonequilibrium quantum phase transitions exactly at the QCPs and hence disclose the JW‐MF approach qualitatively works very well.

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Section: Resultsmentioning

confidence: 99%

Dynamical Quantum Phase Transitions in the 1D Nonintegrable Spin‐1/2 Transverse Field XZZ Model

Cheraghi

Mahdavifar

2021

Annalen der Physik

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“…Also, numerous studies have been extended within the scope of the non-equilibrium dynamics of QCs in many-body system. [41,42,43,44,45,46,47,48,49,50,51]. Take the entanglement entropy, the entanglement spectrum [41,42], and the quantum mutual information [43] as examples.…”

Section: Setups and Toolsmentioning

confidence: 99%

Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states

Kheiri¹,

Cheraghi²,

Mahdavifar³

2022

Preprint

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We analyze the behavior of steady-state quantum correlations (QCs) in the spin-1/2 transverse field XY chains analytically, in terms of quench dynamics at zerotemperature. We show that steady-state QCs are strikingly greater than the equilibrium ones in its ground-state, where a single quench is performed from ferrointo paramagnetic phases. Another framework to amplify the QCs here is a feasible protocol called double quench dynamics. To fulfill this purpose, we probe a middle quench point and spending time T (defined as the time passing from the middle quench point before reaching a second quench). By doing so, both single and double quenches act as practical tools to control the enhancement of the steady-state QCs in the final quenched point. In particular, and in parallel to expectations for some other quantities, we indicate that the nonequilibrium quantum phase transitions also can be identified by nonanalyticities in the steady-state QCs. Our work may be testable with the current class of trappedion or ultracold-atom experiments, and encourage the possible potential in the quantum information field.

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“…Already the seminal studies unambiguously confirm that finite quantum spin, fermion or boson system may exhibit all the hallmarks of the QPTs [12][13][14][15][16]. The exact calculation of various quantum parameters, such as entanglement [17][18][19][20][21][22][23], Loschmidt echo [24,25], fidelity [26] quantum discord (QD) [27], quantum coherence [28], time-dependent quantum behaviour of a complex few spin cluster [29,30] and quantum correlations after sudden quenches [31][32][33] has been successfully used to identify various QPTs using finite system studies. However, each tool has its limitations for different types of QPTs, and only a proper combination of used markers allows to get a correct description.…”

Section: Introductionmentioning

confidence: 99%

Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction

Japaridze,

Cheraghi,

Mahdavifar

2021

Preprint

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We consider the ground-state phase diagram of a one-dimensional spin-1/2 XXZ chain with spatially modulated Dzyaloshinskii-Moriya interaction in the presence of applied along with the ẑ axis alternating magnetic field. The model is studied using the continuum-limit bosonization approach and the finite system exact numerical technique. In the absence of the magnetic field, the groundstate phase diagram of the model includes besides the ferromagnetic and gapless Luttiger-Liquid (LL) phases two gapped phases, the composite (C1) phase characterized by the coexistence of the long-range-ordered (LRO) alternating dimerization and the spin chirality patterns, and the composite (C2) phase characterized in addition to the coexisting spin dimerization and alternating chirality patterns, by the presence of LRO antiferromagnetic order. In the case of two-letter gapped phases, in the case of a uniform magnetic field, the commensurate-incommensurate type quantum phase transitions (QPT) from a gapful phase into the gapless phase have been identified and described using the bosonization treatment and finite chain exact diagonalizations studies. The upper critical magnetic field corresponding to the transition into a fully polarized state has been also determined. It has been shown that the very presence of the staggered component of the magnetic field vapes out the composite (C1) in favour of the composite gapped (C2) phase.

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Dynamical quantum correlations after sudden quenches

Cited by 24 publications

References 79 publications

Dynamical Quantum Phase Transitions in the 1D Nonintegrable Spin‐1/2 Transverse Field XZZ Model

Dynamical Quantum Phase Transitions in the 1D Nonintegrable Spin‐1/2 Transverse Field XZZ Model

Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states

Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction

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