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Many physical and chemical processes in the condensed phase environment exhibit non-Markovian quantum dynamics. As such simulations are challenging on classical computers, we developed a variational quantum algorithm that is capable of…

Quantum Physics · Physics 2024-03-11 Peter L. Walters , Joachim Tsakanikas , Fei Wang

A collision model (CM) is a framework to describe open quantum dynamics. In its {\it memoryless} version, it models the reservoir $\mathcal R$ as consisting of a large collection of elementary ancillas: the dynamics of the open system…

Quantum Physics · Physics 2017-09-13 Salvatore Lorenzo , Francesco Ciccarello , G. Massimo Palma

Quantum collision model provides a promising tool for investigating system-bath dynamics. Most of the studies on quantum collision models work in the resonant regime. In quantum dynamics, the off-resonant interaction often brings in…

Quantum Physics · Physics 2024-09-20 Wei-Bin Yan , Zhong-Xiao Man , Ying-Jie Zhang , Yun-Jie Xia

We provide a versatile analytical framework for calculating the dynamics of a spin system in contact with a fermionic bath beyond the Markov approximation. The approach is based on a second order expansion of the Nakajima-Zwanzig master…

Mesoscale and Nanoscale Physics · Physics 2019-10-18 Stephanie Matern , Daniel Loss , Jelena Klinovaja , Bernd Braunecker

Studies of the dynamics of a quantum system coupled to baths are typically performed by utilizing the Nakajima-Zwanzig memory kernel (${\mathcal{K}}$) or the influence functions ($\mathbf{{I}}$), especially when the dynamics exhibit memory…

Quantum Physics · Physics 2024-06-05 Felix Ivander , Lachlan P. Lindoy , Joonho Lee

We study the validity of Landauer principle in the non-Markovian regime by means of collision models where the intracollisions inside the reservoir cause memory effects generating system-environment correlations. We adopt the…

Quantum Physics · Physics 2019-04-17 Zhong-Xiao Man , Yun-Jie Xia , Rosario Lo Franco

We study the effect of non-Markovianity in the charging process of an open-system quantum battery. We employ a collisional model framework, where the environment is described by a discrete set of ancillary systems and memory effects in the…

Quantum Physics · Physics 2023-05-15 Daniele Morrone , Matteo A. C. Rossi , Andrea Smirne , Marco G. Genoni

In this paper we investigate the non-Markovian dynamics of a qubit by comparing two generalized master equations with memory. In the case of a thermal bath, we derive the solution of the post-Markovian master equation recently proposed in…

Quantum Physics · Physics 2009-11-11 Sabrina Maniscalco , Francesco Petruccione

We investigate memory effects in the spin-boson model using a recently proposed measure for non-Markovian behavior based on the information exchange between an open system and its environment. Employing the numerical exact multilayer…

Quantum Physics · Physics 2021-07-28 Sebastian Wenderoth , Heinz-Peter Breuer , Michael Thoss

An easily solvable quantum master equation has long been sought that takes into account memory effects induced on the system by the bath, i.e., non-Markovian effects. We briefly review the Post-Markovian master equation (PMME), which is…

Quantum Physics · Physics 2018-10-24 Chris Sutherland , Todd A. Brun , Daniel A. Lidar

We study quantum non-Markovian dynamics of the Caldeira-Leggett model, a prototypical model for quantum Brownian motion describing a harmonic oscillator linearly coupled to a reservoir of harmonic oscillators. Employing the exact analytical…

Quantum Physics · Physics 2020-09-02 Simon Einsiedler , Andreas Ketterer , Heinz-Peter Breuer

We present an extensive introduction to quantum collision models (CMs), also known as repeated interactions schemes: a class of microscopic system-bath models for investigating open quantum systems dynamics whose use is currently spreading…

Quantum Physics · Physics 2022-03-16 Francesco Ciccarello , Salvatore Lorenzo , Vittorio Giovannetti , G. Massimo Palma

Quantum collision models have proved to be useful for a clear and concise description of many physical phenomena in the field of open quantum systems: thermalization, decoherence, homogenization, nonequilibrium steady state, entanglement…

Quantum Physics · Physics 2022-04-06 Sergey N. Filippov

We consider a microscopic collision model, i.e., a quantum system interacts with a hierarchical environment consisting of an auxiliary system and a reservoir. We show how the non-Markovian character of the system is influenced by the…

Quantum Physics · Physics 2020-10-27 Yong-Wei Li , Lei Li

A master equation has been constructed for a global system-bath interaction both in the absence as well as presence of non-Markovian noise. For the memoryless case, it has been exactly solved for a paradigmatic class of two qubit states in…

Quantum Physics · Physics 2018-08-07 Samyadeb Bhattacharya , Subhashish Banerjee , Arun Kumar Pati

Non-Markovian dynamics is studied for two interacting quibts strongly coupled to a dissipative bosonic environment. For the first time, we have derived the non-Markovian quantum state diffusion (QSD) equation for the coupled two-qubit…

Quantum Physics · Physics 2011-09-07 Xinyu Zhao , Jun Jing , Brittany Corn , Ting Yu

We investigate continuous quantum error correction, comparing performance under a Markovian error model to two distinct non-Markovian models. The first non-Markovian model involves an interaction Hamiltonian between the system and an…

Quantum Physics · Physics 2026-03-09 Juan Garcia Nila , Todd A. Brun

The appearance of steady-state coherence (SSC) from system-bath interaction proves that quantum effects can appear without an external drive. Such SSC could become a resource to demonstrate quantum advantage in the applications. We predict…

Quantum Physics · Physics 2022-11-10 Ricardo Román-Ancheyta , Michal Kolář , Giacomo Guarnieri , Radim Filip

A wide class of non-Markovian completely positive master equations can be formulated on the basis of quantum collisional models. In this phenomenological approach the dynamics of an open quantum system is modeled through an ensemble of…

Quantum Physics · Physics 2013-09-26 Adrian A. Budini

We investigate the behavior in time of the energy current between a quantum spin chain and its surrounding non-Markovian, finite temperature baths, together with its relationship to the coherence dynamics of the system. To be specific, both…

Quantum Physics · Physics 2022-10-26 Arapat Ablimit , Run-Hong He , Yang-Yang Xie , Zhao-Ming Wang