Superexponential behaviors of out-of-time ordered correlators and Loschmidt echo in a non-Hermitian interacting system

• URL: http://arxiv.org/abs/2305.12150v1
• Date: Sat, 20 May 2023 09:33:14 GMT
• Title: Superexponential behaviors of out-of-time ordered correlators and Loschmidt echo in a non-Hermitian interacting system
• Authors: Wen-Lei Zhao and Jie Liu
• Abstract summary: We study the dynamics of quantum chaos and quantum scrambling under many-body interaction effects. Our findings suggest a kind of fastest divergence of two nearby quantum states.
• Score: 4.144331441157407
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate, both analytically and numerically, the dynamics of quantum chaos and quantum scrambling under many-body interaction effects via a non-Hermitian Gross-Pitaevski map model, incorporating a periodically modulated, complex strength of nonlinear interaction as delta kicks. We establish a theoretical equivalence between a particular out-of-time ordered correlator and the fidelity of a quantum state, which is proportional to the Loschmidt echo. Both exhibit a double exponential growth in relation to time, indicating the emergence of superexponential instability and superexponentially-fast scrambling. The underlying mechanism is rooted in the superexponentially-fast diffusion of energy, arising from the interplay between the positive feedback of nonlinear interaction and the growth of the amplitude of quantum state due to non-Hermiticity. Our findings suggest a kind of fastest divergence of two nearby quantum states, which has implication in information scrambling and brachistochrone evolution of quantum states.

Related papers

• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
  In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
  arXiv  Detail & Related papers  (2024-02-14T16:58:21Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions [0.0]
  Experimental progress in atomic, molecular, and optical platforms has stimulated strong and broad interest in quantum coherent dynamics. This Report presents a systematic and organic review of recent advances in the field.
  arXiv  Detail & Related papers  (2023-07-10T18:00:16Z)
• Observing super-quantum correlations across the exceptional point in a single, two-level trapped ion [48.7576911714538]
  In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively. Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$. These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
  arXiv  Detail & Related papers  (2023-04-24T19:44:41Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
  We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
  arXiv  Detail & Related papers  (2022-07-08T11:16:29Z)
• Entanglement and Correlation Spreading in non-Hermitian Spin Chains [0.0]
  Non-Hermitian quantum many-body systems are attracting widespread interest for their exotic properties. We study how quantum information and correlations spread under a quantum quench generated by a prototypical non-Hermitian spin chain.
  arXiv  Detail & Related papers  (2022-01-24T19:00:02Z)
• Out-of-time-order correlator in the quantum Rabi model [62.997667081978825]
  We show that out-of-time-order correlator derived from the Loschmidt echo signal quickly saturates in the normal phase. We show that the effective time-averaged dimension of the quantum Rabi system can be large compared to the spin system size.
  arXiv  Detail & Related papers  (2022-01-17T10:56:57Z)
• Quantum correlations of localized atomic excitations in a disordered atomic chain [0.0]
  Atom-waveguide interface mediates significant and long-range light-matter interactions. We theoretically investigate the excitation localization of atomic excitations under strong position disorders.
  arXiv  Detail & Related papers  (2021-10-21T08:49:08Z)
• Interaction-driven breakdown of dynamical localization in a kicked quantum gas [0.0]
  Quantum interference can terminate energy growth in a continually kicked system, via a single-particle ergodicity-breaking mechanism known as dynamical localization. We report the experimental realization of a tunably-interacting kicked quantum rotor ensemble using a Bose-Einstein condensate in a pulsed optical lattice. Results quantitatively elucidate the dynamical transition to many-body quantum chaos, advance our understanding of quantum anomalous diffusion, and delimit some possibilities for protecting quantum information in interacting systems.
  arXiv  Detail & Related papers  (2021-06-17T17:52:55Z)
• Super-exponential diffusion in nonlinear non-Hermitian systems [2.8572548342403024]
  We investigate the quantum diffusion of a periodically kicked particle subjecting to both nonlinearity induced self-interactions and $mathcalPT$-symmetric potentials. In the $mathcalPT$-symmetry-breaking phase, the intensity of a state increases exponentially with time, leading to the exponential growth of the interaction strength. The feedback of the intensity-dependent nonlinearity further turns the interaction energy into the kinetic energy, resulting in a super-exponential growth of the mean energy.
  arXiv  Detail & Related papers  (2020-10-05T13:04:23Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.