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An exact reduced dynamical map along with its operator sum representation is derived for a central spin interacting with a thermal spin environment. The dynamics of the central spin shows high sustainability of quantum traits such as…

Quantum Physics · Physics 2017-11-23 Chiranjib Mukhopadhyay , Samyadeb Bhattacharya , Avijit Misra , Arun Kumar Pati

We study the influence of the preparation of an open quantum system on its reduced time evolution. In contrast to the frequently considered case of an initial preparation where the total density matrix factorizes into a product of a system…

Quantum Physics · Physics 2009-11-10 Karen M. Fonseca Romero , Peter Talkner , Peter Hänggi

The reduced dynamics of two interacting qubits coupled to two independent bosonic baths is investigated. The one-excitation dynamics is derived and compared with that based on the resolution of appropriate non-Markovian master equations.…

Quantum Physics · Physics 2018-09-05 E. Ferraro , M. Scala , R. Migliore , A. Napoli

We consider a spin-$j$ particle coupled to a structured bath of bosonic modes that decay into thermal baths. We obtain an analytic expression for the reduced spin state and use it to investigate non-Markovian spin dynamics. In the heavily…

Quantum Physics · Physics 2022-04-06 Mattias T. Johnsson , Ben Q. Baragiola , Thomas Volz , Gavin K. Brennen

The evolution of a quantum system interacting with an environment can be described as a unitary process acting on both the system and the environment. In this framework, the system's evolution can be predicted by tracing out the…

We study the dynamics of one and two qubits plunged in a q-deformed oscillators environment. Specifically we evaluate the decay of quantum coherence and entanglement in time when passing from bosonic to fermionic environments. Slowing down…

Quantum Physics · Physics 2010-03-15 S. L'Innocente , C. Lupo , S. Mancini

We study the temporal evolution of entanglement pertaining to two qubits interacting with a thermal bath. In particular we consider the simplest nontrivial spin bath models where symmetry breaking occurs and treat them by mean field…

Quantum Physics · Physics 2009-11-10 Marco Lucamarini , Simone Paganelli , Stefano Mancini

The dynamics of a qubit under the decoherence of a two level fluctuator (TLF) in addition to its coupling to a bosonic bath is investigated theoretically. Two different methods are applied and compared for this problem. One is a…

Quantum Physics · Physics 2010-11-12 Peihao Huang , Hang Zheng , Keiichiro Nasu

We analyze the quantum entanglement at the equilibrium in a class of exactly solvable one-dimensional spin models at finite temperatures and identify a region where the quantum fluctuations determine the behavior of the system. We probe the…

Quantum Physics · Physics 2009-11-11 S. D. Hamieh , M. I. Katsnelson

We investigate the decoherence of a spin 1/2 subsystem weakly coupled to an environment of many spins 1/2 with and without mutual coupling. The total system is closed, its state is pure and evolves under Schroedinger dynamics. Nevertheless,…

Quantum Physics · Physics 2009-11-11 Harry Schmidt , Guenter Mahler

The non-Markovian master equation for open quantum systems is obtained by generalization of the ordinary Zwanzig-Nakajima (ZN) projection technique. To this end, a coupled chain of equations for the reduced density matrices of the bath…

Statistical Mechanics · Physics 2019-11-28 V. V. Ignatyuk , V. G. Morozov

We study the decoherence of a spin-1/2 induced by an environment which is on the verge of a continuous phase transition. We consider spin environments described by the ferromagnetic and antiferromagnetic Heisenberg models on a square…

Mesoscale and Nanoscale Physics · Physics 2007-06-15 S. Camalet R. Chitra

We demonstrate an exact mapping of a class of models of two interacting qubits in thermal reservoirs to two separate spin-bath problems. Based on this mapping, exact numerical simulations of the qubits dynamics can be performed, beyond the…

Quantum Physics · Physics 2015-06-05 Lian-Ao Wu , Claire X. Yu , Dvira Segal

We obtain analytically close forms of benchmark quantum dynamics of the collapse and revival (CR), reduced density matrix, Von Neumann entropy, and fidelity for the XXZ central spin problem. These quantities characterize the quantum…

Quantum Physics · Physics 2019-05-29 Wen-Bin He , Stefano Chesi , Hai-Qing Lin , Xi-Wen Guan

We study the time evolution of a single qubit in contact with a bath, within the framework of projection operator methods. Employing the so-called modified Redfield theory which also treats energy conserving interactions non-perturbatively,…

Statistical Mechanics · Physics 2024-06-10 Jiaozi Wang , Jochen Gemmer

This study investigates the atomistic spin system in $\rm CrCl_{3}$, which exhibits topologically nontrivial meron structures within its layered hexagonal lattice framework. We analyze the complete model of discrete spin dynamics on a…

Mathematical Physics · Physics 2024-07-19 Mengjia Bai , Jingrun Chen , Zhiwei Sun , Yun Wang

The conditions under which an open quantum mechanical system may be described by mixed quantum-classical dynamics are investigated. Decoherence is studied using influence functional methods in a model composite quantum system comprising two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kazutomu Shiokawa , Raymond Kapral

In spin-based architectures of quantum devices, the hyperfine interaction between the electron spin qubit and the nuclear spin environment remains one of the main sources of decoherence. This paper provides a short review of the current…

Quantum Physics · Physics 2023-03-15 Tymoteusz Salamon , Marcin Płodzień , Maciej Lewenstein , Katarzyna Roszak

We study the dynamics of a single spin-1/2 coupled to a bath of spins-1/2 by inhomogeneous Heisenberg couplings including a central magnetic field. This central-spin model describes decoherence in quantum bit systems. An exact formula for…

Statistical Mechanics · Physics 2009-11-11 Michael Bortz , Joachim Stolze

This Letter deals with the time evolution of a qubit weakly coupled to a reservoir which has a symmetry broken state with long range order at finite temperatures. In particular, we model the ordered reservoir by a standard BCS…

Mesoscale and Nanoscale Physics · Physics 2013-04-16 Juliana Restrepo , S. Camalet , R. Chitra