Repeated interactions in open quantum systems

  title={Repeated interactions in open quantum systems},
  author={Laurent Bruneau and Alain Joye and Marco Merkli},
  journal={arXiv: Mathematical Physics},
Analyzing the dynamics of open quantum systems has a long history in mathematics and physics. Depending on the system at hand, basic physical phenomena that one would like to explain are, for example, convergence to equilibrium, the dynamics of quantum coherences (decoherence) and quantum correlations (entanglement), or the emergence of heat and particle fluxes in non-equilibrium situations. From the mathematical physics perspective, one of the main challenges is to derive the irreversible… Expand
Entanglement and quench dynamics in quantum spin chains
The study carried in this thesis concerns the dynamics of out-of-equilibrium quantum systems, and more particularly their entanglement properties. Indeed, entanglement became a fundamental concept inExpand
Interpolated Collision Model Formalism
The dynamics of open quantum systems (i.e., of quantum systems interacting with an uncontrolled environment) forms the basis of numerous active areas of research from quantum thermodynamics toExpand
Quantum master equations for entangled qubit environments
We study the Markovian dynamics of a collection of n quantum systems coupled to an irreversible environmental channel consisting of a stream of n entangled qubits. Within the framework of repeatedExpand
Thermalization of Fermionic Quantum Walkers
We consider the discrete time dynamics of an ensemble of fermionic quantum walkers moving on a finite discrete sample, interacting with a reservoir of infinitely many quantum particles on the oneExpand
An Extension of ETH to Non-Equilibrium Steady States
We extend the notion of the Eigenstate Thermalization Hypothesis (ETH) to Open Quantum Systems governed by the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) Master Equation. We present evidence thatExpand
An ergodic theorem for homogeneously distributed quantum channels with applications to matrix product states
Quantum channels represent the most general physical changes of a quantum system. We consider ergodic sequences of channels, obtained by sampling channel valued maps along the trajectories of anExpand
Energy exchange and entropy for quasi-free fermionic semigroups
We consider a model of quantum dynamical semigroup on a finite dimensional fermionic space, obtained as the continuous-time limit of a repeated interactions model between a system and several thermalExpand
Asymptotics of quantum channels: conserved quantities, an adiabatic limit, and matrix product states
This work derives an analytical formula for the asymptotic state---the quantum state resulting from an infinite number of applications of a general quantum channel on some initial state. For channelsExpand
A note on the Landauer principle in quantum statistical mechanics
The Landauer principle asserts that the energy cost of erasure of one bit of information by the action of a thermal reservoir in equilibrium at temperature T is never less than kT log 2. We discussExpand
A steady state quantum classifier
Abstract We report that under some specific conditions a single qubit model weakly interacting with information environments can be referred to as a quantum classifier. We exploit the additivity andExpand


Repeated Interaction Quantum Systems: Van Hove Limits and Asymptotic States
We establish the existence of two weak coupling regime effective dynamics for an open quantum system of repeated interactions (vanishing strength and individual interaction duration, respectively).Expand
Asymptotics of repeated interaction quantum systems
Abstract A quantum system S interacts in a successive way with elements E of a chain of identical independent quantum subsystems. Each interaction lasts for a duration τ and is governed by a fixedExpand
Natural Nonequilibrium States in Quantum Statistical Mechanics
A quantum spin system is discussed where a heat flow between infinite reservoirs takes place in a finite region. A time-dependent force may also be acting. Our analysis is based on a simple technicalExpand
Non-Equilibrium Steady States of Finite¶Quantum Systems Coupled to Thermal Reservoirs
Abstract: We study the non-equilibrium statistical mechanics of a 2-level quantum system, ?, coupled to two independent free Fermi reservoirs ?1, ?2, which are in thermal equilibrium at inverseExpand
On a model for quantum friction III. Ergodic properties of the spin-boson system
We investigate the dynamics of a 2-level atom (or spin 1/2) coupled to a mass-less bosonic field at positive temperature. We prove that, at small coupling, the combined quantum system approachesExpand
Weak Coupling and Continuous Limits for Repeated Quantum Interactions
We consider a quantum system in contact with a heat bath consisting in an infinite chain of identical sub-systems at thermal equilibrium at inverse temperature β. The time evolution is discrete andExpand
Repeated Quantum Non-Demolition Measurements: Convergence and Continuous Time Limit
We analyze general enough models of repeated indirect measurements in which a quantum system interacts repeatedly with randomly chosen probes on which von Neumann direct measurements are performed.Expand
The Langevin equation for a quantum heat bath
Abstract We compute the quantum Langevin equation (or more exactly, the quantum stochastic differential equation) representing the action of a quantum heat bath at thermal equilibrium on a simpleExpand
Quantum theory of a two-photon micromaser.
The quantum theory of a microscopic maser operating on a degenerate two-photon transition between levels of the same parity is presented and it is shown that quantum effects may have a substantial influence on the behavior of the maser. Expand
Linear Response Theory for Thermally Driven Quantum Open Systems
This note is a continuation of our recent paper [V. Jakšić Y. Ogata, and C.-A. Pillet, The Green-Kubo formula and Onsager reciprocity relations in quantum statistical mechanics. Commun. Math. Phys.Expand