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We study nonclassical effects in the dynamics of an open quantum system. The model involves a harmonic oscillator coupled to a reservoir of non-interacting harmonic oscillators. Different system-bath interaction schemes as well as reservoir…

Quantum Physics · Physics 2023-05-17 Mehdi Abdi , Moslem Zarei

For many open quantum systems, a master equation approach employing the Markov approximation cannot reliably describe the dynamical behaviour. This is the case, for example, in a number of solid state or biological systems, and it has…

Quantum Physics · Physics 2015-06-16 V. Venkataraman , A. D. K. Plato , Tommaso Tufarelli , M. S. Kim

The manner in which unpredictable chaotic dynamics manifests itself in quantum mechanics is a key question in the field of quantum chaos. Indeed, very distinct quantum features can appear due to underlying classical nonlinear dynamics. Here…

Quantum Physics · Physics 2014-03-07 G. B. Lemos , R. M. Gomes , S. P. Walborn , P. H. Souto Ribeiro , F. Toscano

We consider the interaction of a quantum system (spin-1/2) with a macroscopic quantum apparatus (harmonic oscillator) which in turn is coupled to a bath of harmonic oscillators. Exact solutions of the Markovian Master equation show that the…

Quantum Physics · Physics 2009-10-31 Anu Venugopalan

The non-Markovian nature of quantum systems recently turned to be a key subject for investigations on open quantum system dynamics. Many studies, from its theoretical grounding to its usefulness as a resource for quantum information…

We address the dynamics of nonclassicality for a quantum system interacting with a noisy fluctuating environment described by a classical stochastic field. As a paradigmatic example, we consider a harmonic oscillator initially prepared in a…

Quantum Physics · Physics 2015-10-27 Jacopo Trapani , Matteo Bina , Sabrina Maniscalco , Matteo G. A. Paris

We consider the Wigner function evolution of Fock states $|n\rangle$ linearly coupled to a Markovian bath of oscillators. In the absence of environmental coupling, apparent ``quantumness'' increases with $n$, but the presence of any…

Quantum Physics · Physics 2010-07-28 Andrew C. McClung , Tyler E. Keating , Adam T. C. Steege , Arjendu K. Pattanayak

In this thesis concrete quantum systems are investigated in the framework of the environment induced decoherence. The focus is on the dynamics of highly nonclassical quantum states, the Wigner function of which are negative over some…

Quantum Physics · Physics 2007-05-23 Peter Foldi

We have investigated the time-evolution of a free particle in interaction with a phonon thermal bath, using the tight-binding approach. A dissipative quantum walk can be defined and many important non-equilibrium decoherence properties can…

Quantum Physics · Physics 2015-06-05 Marco Nizama , Manuel O. Cáceres

We address quantitatively the relationship between the nonlinearity of a mechanical resonator and the nonclassicality of its ground state. In particular, we analyze the nonclassical properties of the nonlinear Duffing oscillator (being…

Quantum Physics · Physics 2015-10-27 Berihu Teklu , Alessandro Ferraro , Mauro Paternostro , Matteo G. A. Paris

Open system dynamics in a classical setting is microscopically governed by the structure of the thermal environment which influences the dynamics of the probe particle (free or in an external potential). Nonlinear baths have recently been…

Statistical Mechanics · Physics 2018-07-20 Chitrak Bhadra , Ion Santra , Dhruba Banerjee

We derive an analytical expression of a Wigner function that approximately describes the time evolution of the one-dimensional motion of a particle in a nonharmonic potential. Our method involves two exact frame transformations, accounting…

The present work is devoted to the study of dynamical features of Bohmian measures, recently introduced by the authors. We rigorously prove that for sufficiently smooth wave functions the corresponding Bohmian measure furnishes a…

Mathematical Physics · Physics 2012-01-19 Peter Markowich , Thierry Paul , Christof Sparber

We introduce a method of characterization of non-Markovianity using coherence of a system interacting with the environment. We show that under the allowed incoherent operations, monotonicity of a valid coherence measure is affected due to…

Quantum Physics · Physics 2016-11-28 Titas Chanda , Samyadeb Bhattacharya

Deformation quantization is a powerful tool to quantize some classical systems especially in noncommutative space. In this work we first show that for a class of special Hamiltonian one can easily find relevant time evolution functions and…

Mathematical Physics · Physics 2009-04-03 Bing-Sheng Lin , Si-Cong Jing , Tai-Hua Heng

We propose a scheme to characterize the non-Markovian dynamics and quantify the non-Markovianity via the non-classicality measured by the negativity of quantumness. By considering a qubit in contact with a critical Ising spin bath and…

Quantum Physics · Physics 2015-06-23 Zheng-Da Hu , Yixin Zhang , Ye-Qi Zhang

We investigate the non-Markovian dynamics of a qubit-oscillator system embedded in a noisy environment by employing the hierarchical equations of motion approach. It is found that the decoherence rate of the whole qubit-oscillator-bath…

Quantum Physics · Physics 2017-12-29 Wei Wu , Jun-Qing Cheng

We characterize a class of superclassical non-Markovian open quantum system dynamics that are defined by their lack of measurement invasiveness when the corresponding observable commutates with the pre-measurement state. This diagonal…

Quantum Physics · Physics 2025-05-07 Adrian A. Budini

The conditions under which quantum-classical Liouville dynamics may be reduced to a master equation are investigated. Systems that can be partitioned into a quantum-classical subsystem interacting with a classical bath are considered.…

Statistical Mechanics · Physics 2015-06-25 Robbie Grunwald , Raymond Kapral

The nonclassicality of photon-added coherent fields in the thermal channel is investigated by exploring the volume of the negative part of the Wigner function which reduces with the dissipative time. The Wigner functions become positive…

Quantum Physics · Physics 2015-06-26 Shang-Bin Li , Justin Liu , Xu-Bo Zou , Guang-Can Guo
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