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We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of…

Quantum Physics · Physics 2014-09-24 N. K. Bernardes , A. R. R. Carvalho , C. H. Monken , M. F. Santos

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

A restricted form of Landauer's Principle, independent of computational considerations, is shown to hold for thermal systems by reference to the joint entropy associated with conjugate observables. It is shown that the source of the…

Quantum Physics · Physics 2024-01-15 R. E. Kastner , Andreas Schlatter

We present a theoretical framework to tackle quantum non-Markovian dynamics based on a microscopic collision model (CM), where the bath consists of a large collection of initially uncorrelated ancillas. Unlike standard memoryless CMs, we…

Quantum Physics · Physics 2013-04-30 F. Ciccarello , G. M. Palma , V. Giovannetti

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A novel master…

Quantum Physics · Physics 2008-09-01 Bassano Vacchini

The first law of thermodynamics, which governs energy conservation, is traditionally formulated as an equality. Surprisingly, we demonstrate that the first law alone implies a universal Landauer-like inequality linking changes in system…

Quantum Physics · Physics 2023-08-17 Junjie Liu , Hanlin Nie

It is demonstrated how to construct a Galois connection between two related systems with entropy. The construction, called the Landauer's connection, describes coupling between two systems with entropy. It is straightforward and transfers…

Mathematical Physics · Physics 2018-12-18 Radosław A. Kycia

The Markovian evolution of an open quantum system is characterized by a positive entropy production, while the global entropy gets redistributed between the system and the environment degrees of freedom. Starting from these premises, we…

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

According to the Landauer principle, any logically irreversible process accompanies entropy production, which results in heat dissipation in the environment. Erasing of information, one of the primary logically irreversible processes, has a…

Quantum Physics · Physics 2025-08-05 Pritam Chattopadhyay , Avijit Misra , Tanmoy Pandit , Goutam Paul

We present an extended collision model to simulate the dynamics of an open quantum system. In our model, the unit to represent the environment is, instead of a single particle, a block which consists of a number of environment particles.…

Quantum Physics · Physics 2018-05-11 Jiasen Jin , Chang-shui Yu

We have recently presented a collision-model-based framework to approach non-Markovian quantum dynamics [Ciccarello F Palma G M and Giovannetti V 2013 Phys. Rev. A 87, 040103(R)]. As a distinctive feature, memory is introduced in a…

Quantum Physics · Physics 2013-05-02 Francesco Ciccarello , Vittorio Giovannetti

Traditional form of the second law of thermodynamics is strongly restricted by three conditions: One is the initial joint state of the system and surroundings should be a product state, so that there exists no initial correlations. The…

Quantum Physics · Physics 2018-03-19 Ke-Xia Jiang , Yuan-Mou Li , Heng Fan

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

Non-Markovian evolution of an open quantum system can be induced by the memory effects of a reservoir. Although a reservoir with stronger memory effects may seem like it should cause stronger non-Markovian effects on the system of interest,…

Quantum Physics · Physics 2014-10-13 Tiantian Ma , Yusui Chen , Tian Chen , Samuel R. Hedemann , Ting Yu

Landauer's principle, a cornerstone of quantum information and thermodynamics, appears to be violated when the thermal reservoir is replaced by a squeezed thermal state (STS), owing to the additional thermodynamic resources inherently…

Quantum Physics · Physics 2026-05-08 Hao Xu

We find the conditions under which a quantum regression theorem can be assumed valid for non-Markovian master equations consisting in Lindblad superoperators with memory kernels. Our considerations are based on a generalized Born-Markov…

Quantum Physics · Physics 2008-03-18 Adrian A. Budini

A known aspect of the Clausius inequality is that an equilibrium system subjected to a squeezing $\d S<0$ of its entropy must release at least an amount $|\dbarrm Q|=T|\d S|$ of heat. This serves as a basis for the Landauer principle, which…

Statistical Mechanics · Physics 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

Applying the theory of self-adjoint extensions of Hermitian operators to Koopman von Neumann classical mechanics, the most general set of probability distributions is found for which entropy is conserved by Hamiltonian evolution. A new…

Statistical Mechanics · Physics 2019-06-24 Gerard McCaul , Alexander Pechen , Denys I. Bondar

We investigate the nature of memory effects in the non-Markovian dynamics of spin boson models. Local quantum memory criteria can be used to indicate that the reduced dynamics of an open system necessarily requires a quantum memory in its…

Quantum Physics · Physics 2026-05-06 Charlotte Bäcker , Valentin Link , Walter T. Strunz