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We generalize the dispersive theory of the Jaynes-Cummings model beyond the frequently employed rotating-wave approximation (RWA) in the coupling between the two-level system and the resonator. For a detuning sufficiently larger than the…

Quantum Physics · Physics 2010-08-31 David Zueco , Georg M. Reuther , Sigmund Kohler , Peter Hänggi

An open quantum system refers to a system, which is in turn coupled to an environment that can describe time irreversible dynamics through which the system evolves toward the thermal equilibrium state. We present a quantum mechanically…

Statistical Mechanics · Physics 2020-06-02 Hideaki Takahashi , Yoshitaka Tanimura

In this paper we present a general framework in which one can rigorously study the effect of spatio-temporal noise on traveling waves, stationary patterns and oscillations that are invariant under the action of a finite-dimensional set of…

Dynamical Systems · Mathematics 2020-06-24 James MacLaurin

We address the dynamics of a bosonic system coupled to either a bosonic or a magnetic environment, and derive a set of sufficient conditions that allow one to describe the dynamics in terms of the effective interaction with a classical…

The paper investigates the non-local property of quantum mechanics in the quantum hydrodynamic analogy (QHA) given by Madelung. The role of the quantum potential in generating the non-local dynamics of quantum mechanics is analyzed. The…

Quantum Physics · Physics 2014-12-24 Piero Chiarelli

We use the exact solution for the damped harmonic oscillator to discuss some relevant aspects of its open dynamics often mislead or misunderstood. We compare two different approximations both referred to as Rotating Wave Approximation.…

Quantum Physics · Physics 2009-11-10 S. Maniscalco , F. Intravaia , J. Piilo , A. Messina

We identify the conditions that guarantee equivalence of the reduced dynamics of an open quantum system (OQS) for two different types of environments - one a continuous bosonic environment leading to a unitary system-environment evolution…

Quantum Physics · Physics 2018-01-24 Dario Tamascelli , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

In quantum dynamics, symmetries are vital for identifying and assessing conserved quantities that govern the evolution of a quantum system. When promoted to the open quantum system setting, dynamical symmetries can be negatively altered by…

Quantum Physics · Physics 2025-11-07 William M. Watkins , Gregory Quiroz

We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix…

Quantum Physics · Physics 2015-02-27 Amir Fruchtman , Brendon W. Lovett , Simon C. Benjamin , Erik M. Gauger

In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant…

The Rabi model considers a two-level system (or spin-1/2) coupled to a quantized harmonic oscillator and describes the simplest interaction between matter and light. The recent experimental progress in solid-state circuit quantum…

Mesoscale and Nanoscale Physics · Physics 2014-08-20 Loïc Henriet , Zoran Ristivojevic , Peter P. Orth , Karyn Le Hur

Recalling that the rotating wave approximation (RWA) is only valid in the weak coupling regimes, the purpose of this paper is to study the Hamiltonian dynamics describing the full quantum mechanical approach of the interaction between…

Quantum Physics · Physics 2021-08-17 N. Asili Firouzabadi , M. K. Tavassoly

Non-Markovian dynamics of two interacting two-level qubits coupled to a bosonic bath was previously studied using the quantum-state-diffusion (QSD) equation, where a stochastic state is used to describe the system. In this study, we provide…

Quantum Physics · Physics 2015-07-29 Tai-Yin Chiu

Recent works have shown that generic local Hamiltonians can be efficiently inferred from local measurements performed on their eigenstates or thermal states. Realistic quantum systems are often affected by dissipation and decoherence due to…

Quantum Physics · Physics 2020-03-25 Eyal Bairey , Chu Guo , Dario Poletti , Netanel H. Lindner , Itai Arad

We study the effect of local unitary noise on the entanglement evolution of a two-qubit system subject to local monitoring and inter-qubit coupling. We construct a stochastic Hamiltonian by incorporating the noise into the…

Quantum Physics · Physics 2024-03-14 Dominic Shea , Alessandro Romito

A quantum system that interacts with an environment generally undergoes nonunitary evolution described by a non-Markovian or Markovian master equation. In this paper, we construct the non-Markovian Redfield master equation for a quantum…

High Energy Physics - Theory · Physics 2026-01-13 Brenden Bowen , Nishant Agarwal , Archana Kamal

We establish for the first time an exact stochastic dynamical equation for an open quantum systems coupled to correlated noises. We rigorously investigate the nonequilibrium dynamics of a qubit system under the influence of two strongly…

Quantum Physics · Physics 2015-02-16 Jun Jing , Rui Li , J. Q. You , Ting Yu

We investigate the entanglement dynamics of continuous-variable quantum channels in terms of an entangled squeezed state of two cavity fields in a general non-Markovian environment. Using the Feynman-Vernon influence functional theory in…

Quantum Physics · Physics 2009-11-13 Jun-Hong An , Wei-Min Zhang

Strongly interacting quantum systems described by non-stoquastic Hamiltonians exhibit rich low-temperature physics. Yet, their study poses a formidable challenge, even for state-of-the-art numerical techniques. Here, we investigate…

Computational Physics · Physics 2021-06-18 Marin Bukov , Markus Schmitt , Maxime Dupont

The aim of this work is to study the dynamics of quantum systems subjected to a localized fermionic source in the presence of bulk dephasing. We consider two classes of one-dimensional lattice systems: (i) a non-interacting lattice with…

Quantum Physics · Physics 2025-11-04 Tamoghna Ray , Katha Ganguly , Dario Poletti , Manas Kulkarni , Bijay Kumar Agarwalla