Dynamical quantum phase transition without an order parameter

N., Kuliashov, O.; Markov, A. A.; Rubtsov, A. N.

doi:10.1103/physrevb.107.094304

Cited by 7 publications

(1 citation statement)

References 30 publications

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“…λ(t) = − lim N→+∞ or its time derivative, which exhibits cusp-like singularities at critical times. The DQPT has been extensively studied in many quantum systems, including XY chains [10][11][12][13], Kitaev honeycomb models [14], non-integrable models [15][16][17][18][19], systems with long-range interactions [20][21][22][23][24][25][26], quantum Potts models [27], non-Hermitian systems [28][29][30][31], Bose-Einstein condensates [32], inhomogeneous systems [33][34][35][36][37][38][39], periodically driven systems [40][41][42][43][44][45][46][47], systems in mixed states [48][49][50][51][52][53][54][55][56]…”

Section: Introductionmentioning

confidence: 99%

Aperiodic dynamical quantum phase transition in multi-band Bloch Hamiltonian and its origin

Cao,

Guo,

Yang

2024

J. Phys.: Condens. Matter

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We investigate the dynamical quantum phase transition (DQPT) in the multi-band Bloch Hamiltonian of the one-dimensional periodic Kitaev model, focusing on quenches from a Bloch band. By analyzing the dynamical free energy and Pancharatnam geometric phase, we show that the critical times of DQPTs deviate from periodic spacing due to the multi-band effect, contrasting with results from two-band models. We propose a geometric interpretation to explain this non-uniform spacing. Additionally, we clarify the conditions needed for DQPT occurrence in the multi-band Bloch Hamiltonian, highlighting that a DQPT only arises when the quench from the Bloch states collapses the band gap at the critical point. Moreover, we establish that the dynamical topological order parameter, defined by the winding number of the Pancharatnam geometric phase, is not quantized but still exhibits discontinuous jumps at DQPT critical times due to periodic modulation. Additionally, we extend our analysis to mixed-state DQPT and find its absence at non-zero temperatures.

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Section: Introductionmentioning

confidence: 99%

Aperiodic dynamical quantum phase transition in multi-band Bloch Hamiltonian and its origin

Cao,

Guo,

Yang

2024

J. Phys.: Condens. Matter

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Dynamical quantum phase transitions in an atom-molecule system

Huang,

Yin,

et al. 2024

AIP Advances

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We conduct an investigation on the dynamical quantum phase transition within an atom-molecule Bose–Einstein condensate. We explore the dynamics of atom-molecule conversion and utilize the fraction population of the atom as an order parameter for probing dynamical quantum phase transitions. It is shown that the quench dynamics of the atom presents a non-analytical change regarding the atom binding energy, and it is demonstrated that this dynamics can detect both the quantum phase transition at the ground state and at the highest energy level. Furthermore, we analyze the dynamics of the Loschmidt echo and present its connection with the dynamical quantum phase transitions.

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Dynamical phase transition and scaling in the chiral clock Potts chain

2023

Phys. Rev. A

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Dynamical quantum phase transition without an order parameter

Cited by 7 publications

References 30 publications

Aperiodic dynamical quantum phase transition in multi-band Bloch Hamiltonian and its origin

Aperiodic dynamical quantum phase transition in multi-band Bloch Hamiltonian and its origin

Dynamical quantum phase transitions in an atom-molecule system

Dynamical phase transition and scaling in the chiral clock Potts chain

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