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We investigate time evolution of prepared vibrational state (system) coupled to a reservoir with dense spectrum of its vibrational states. We assume that the reservoir has an equidistant spectrum, and the system - reservoir coupling matrix…

统计力学 · 物理学 2009-11-13 V. A. Benderskii , L. A. Falkovsky , E. I. Kats

We investigate the time evolution process of one selected (initially prepared by optical pumping) vibrational molecular state, coupled to all other intra-molecular vibrational states of the same molecule, and also to its environment.…

介观与纳米尺度物理 · 物理学 2015-05-13 V. A. Benderskii , E. I. Kats

In the framework of simple spin-boson Hamiltonian we study an interplay between dynamic and spectral roots to stochastic-like behavior. The Hamiltonian describes an initial vibrational state coupled to discrete dense spectrum reservoir. The…

介观与纳米尺度物理 · 物理学 2015-05-19 V. A. Benderskii , E. I. Kats

Classical metastability manifests as noise-driven switching between disjoint basins of attraction and slowing down of relaxation, quantum systems like qubits and Rydberg atoms exhibit analogous behavior through collective quantum jumps and…

量子物理 · 物理学 2026-04-28 Ya-Xin Xiang , Weibin Li , Zhengyang Bai , Yu-Qiang Ma

We consider an autonomous system of two coupled single-mode cavities, one of which interacts with a multimode resonator. We demonstrate that for small coupling strengths between single-mode cavities, the Loschmidt echo oscillates…

量子物理 · 物理学 2025-02-24 T. T. Sergeev , A. A. Zyablovsky , E. S. Andrianov

We study a Bose-Einstein condensate at the low energy limit and show that their collective dynamics exhibit interesting quantum dynamical behavior. The system undergoes a dynamical quantum phase transition after a sudden quench into a…

量子物理 · 物理学 2019-11-26 Mehdi Abdi

Quantum fluctuations are inherent in open quantum systems and they affect not only the statistical properties of the initial state but also the time evolution of the system. Using a generic minimal model, we show that quantum noise…

量子气体 · 物理学 2024-12-17 Richelle Jade L. Tuquero , Jayson G. Cosme

A simple and very flexible variational approach to the out-of-equilibrium quantum dynamics in strongly correlated electron systems is introduced through a time-dependent Gutzwiller wavefunction. As an application, we study the simple case…

强关联电子 · 物理学 2010-09-10 Marco Schiró , Michele Fabrizio

A non-Markovian stochastic Schroedinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. Its solutions, when averaged over the noise, reproduce the standard reduced density operator without any…

量子物理 · 物理学 2009-10-31 Walter T Strunz , Lajos Diosi , Nicolas Gisin

The Loschmidt echo - the probability of a quantum many-body system to return to its initial state following a dynamical evolution - generally contains key information about a quantum system, relevant across various scientific fields…

In this work we develop the theory of the Loschmidt echo and dynamical phase transitions in non-interacting strongly disordered Fermi systems after a quench. In finite systems the Loschmidt echo displays zeros in the complex time plane that…

无序系统与神经网络 · 物理学 2022-09-23 Tuomas I. Vanhala , Teemu Ojanen

The processing of energy by transfer and redistribution plays a key role in the evolution of dynamical systems. At the ultrasmall and ultrafast scale of nanosystems, quantum coherence could in principle also play a role and has been…

We study the dynamics of a macroscopic superconducting qubit coupled to two independent non-stationary reservoirs by using time-dependent perturbation theory. We show that an equilibrium environment surpasses the coherent evolution of the…

量子物理 · 物理学 2018-12-13 Nasim Shahmansoori , Farhad Taher Ghahramani , Afshin Shafiee

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

In this paper, we investigate the dynamical quantum phase transitions appearing in the Loschmidt echo and the time-dependent order parameter of a quantum system of harmonically coupled degenerate bosons as a function of the power-law decay…

量子气体 · 物理学 2021-02-16 Marvin Syed , Tilman Enss , Nicolò Defenu

Non-Hermitian classical and open quantum systems near an exceptional point (EP) are known to undergo strong deviations in their dynamical behavior under small perturbations or slow cycling of parameters as compared to Hermitian systems.…

量子物理 · 物理学 2021-02-19 Stefano Longhi

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

统计力学 · 物理学 2022-06-30 Cillian Cockrell , Ian J Ford

It is well known that the addition of noise to a multistable dynamical system can induce random transitions from one stable state to another. For low noise, the times between transitions have an exponential tail and Kramers' formula gives…

动力系统 · 数学 2017-11-15 Peter Ashwin , Jennifer Creaser , Krasimira Tsaneva-Atanasova

Topological defects resulted from boundary constraints in confined liquid crystals have attracted extensive research interests. In this paper, we use numerical simulation to study the phase transition dynamics in the context of stochastic…

软凝聚态物质 · 物理学 2018-10-03 Yucheng Hu , Liu Hong , Weihua Deng

In nano-scale systems coupled to finite-size reservoirs, the reservoir temperature may fluctuate due to heat exchange between the system and the reservoirs. To date, a stochastic thermodynamic analysis of heat, work and entropy production…

统计力学 · 物理学 2024-04-03 Saulo V. Moreira , Peter Samuelsson , Patrick P. Potts
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