• Corpus ID: 238354257

Energy Full Counting Statistics and Return to Equilibrium

  title={Energy Full Counting Statistics and Return to Equilibrium},
  author={Jane Panangaden},
We consider a finite dimensional quantum system S in an arbitrary initial state coupled to an infinitely extended quantum thermal reservoir R in equilibrium at inverse temperature β. The coupling is given by a bounded perturbation of the dynamics and the coupling strength is controlled by a parameter λ. We assume the system S +R has the property of return to equilibrium, which means that after sufficiently long time, the joint system will have reached equilibrium at inverse temperature β. In… 



Non-Equilibrium Steady States of Finite¶Quantum Systems Coupled to Thermal Reservoirs

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Return to equilibrium

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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 approaches

‘Return to Equilibrium’ for Weakly Coupled Quantum Systems: A Simple Polymer Expansion

Recently, several authors studied small quantum systems weakly coupled to free boson or fermion fields at positive temperature. All the rigorous approaches we are aware of employ complex deformations

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Abstract. The general theory of simple transport processes between quantum mechanical reservoirs is reviewed and extended. We focus on thermoelectric phenomena, involving exchange of energy and

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We study a microscopic Hamiltonian model describing an N-level quantum system $${\mathcal{S}}$$S coupled to an infinitely extended thermal reservoir $${\mathcal{R}}$$R. Initially, the system

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In this note we describe some results concerning non-relativistic quantum systems at positive temperature and density confined to macroscopically large regions of physical space which are under the

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Given a W*-algebra ${\mathfrak M}$ with a W*-dynamics τ, we prove the existence of the perturbed W*-dynamics for a large class of unbounded perturbations. We compute its Liouvillean. If τ has a β-KMS