Quantum Fisher information and spin squeezing of the non-Hermitian one-axis twisting model and the effect of dephasing

Hou, Tie-Jun

doi:10.1103/physreva.95.013824

Cited by 7 publications

(2 citation statements)

References 37 publications

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“…Since then, non-Hermitian quantum mechanics has inspired a great deal of work in various fields of quantum physics. [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] Non-Hermitian quantum mechanics has also been used to describe the reduced open quantum systems. [18,19] In particular, non-Hermitian features have been visualized in many experiments.…”

Section: Introductionmentioning

confidence: 99%

Chaotic dynamics of complex trajectory and its quantum signature*

et al. 2020

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We investigate both the quantum and classical dynamics of a non-Hermitian system via a kicked rotor model with P T symmetry. For the quantum dynamics, both the mean momentum and mean square of momentum exhibit the staircase growth with time when the system parameter is in the neighborhood of the P T symmetry breaking point. If the system parameter is much larger than the P T symmetry breaking point, the accelerator mode results in the directed spreading of the wavepackets as well as the ballistic diffusion in momentum space. For the classical dynamics, the non-Hermitian kicking potential leads to the exponentially-fast increase of classical complex trajectories. As a consequence, the imaginary part of the trajectories exponentially diffuses with time, while the real part exhibits the normal diffusion. Our analytical prediction of the exponential diffusion of imaginary momentum and its breakdown time is in good agreement with numerical results. The quantum signature of the chaotic diffusion of the complex trajectories is reflected by the dynamics of the out-of-time-order correlators (OTOC). In the semiclassical regime, the rate of the exponential increase of the OTOC is equal to that of the exponential diffusion of the complex trajectories.

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Section: Introductionmentioning

confidence: 99%

Chaotic dynamics of complex trajectory and its quantum signature*

et al. 2020

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“…[12] The framework for the NH formalism of Hamiltonians has been proposed by Brody et al [13] and Sergi et al [14] With the framework, Sergi et al and Zloshchastiev et al studied NH dynamics of a two-level system, [14] comparison and uni-fication of NH and Lindblad approaches, [15] time correlation functions for NH systems, [16] and stability of pure states in NH systems. [17] Other researchers studied the non-Hermiticity of quantum systems in weak measurement, [18] quantum thermodynamics, [19] characteristics of NH Hamiltonians, [20] quantum Fisher information, [21,22] quantum entropy and quantum entropic uncertainty relation, [23,24] and so on. These research results show that the NH approach has powerful control on quantum systems and its quantum states.…”

Section: Introductionmentioning

confidence: 99%

Generation of sustained optimal entropy squeezing of a two-level atom via non-Hermitian operation

Wang¹,

Mao-Fa²

2018

Chinese Phys. B

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We investigate the entropy squeezing of a two-level atom in the Jaynes-Cummings model, and provide a scheme to generate the sustained optimal entropy squeezing of the atom via non-Hermitian operation. Our results show that the squeezing degree and the persistence time of entropy squeezing of atomic polarization components greatly depend on the non-Hermiticity intensity in non-Hermitian operation. Especially, under a proper choice of non-Hermiticity parameters, the sustained optimal entropy squeezing of the atom can be generated even though the atom is initially prepared in a no entropy squeezing state.

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Enhancing and protecting quantum correlations of a two-qubit entangled system via non-Hermitian operation

Wang

Mao-Fa

2018

Quantum Inf Process

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Quantum Fisher information and spin squeezing of the non-Hermitian one-axis twisting model and the effect of dephasing

Cited by 7 publications

References 37 publications

Chaotic dynamics of complex trajectory and its quantum signature*

Chaotic dynamics of complex trajectory and its quantum signature*

Generation of sustained optimal entropy squeezing of a two-level atom via non-Hermitian operation

Enhancing and protecting quantum correlations of a two-qubit entangled system via non-Hermitian operation

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