Coupled transport in a linear-stochastic Schrödinger Equation

Abstract

I study heat and norm transport in a one-dimensional lattice of linear Schrödinger oscillators with conservative stochastic perturbations. Its equilibrium properties are the same of the Discrete Nonlinear Schrödinger equation in the limit of vanishing nonlinearity. When attached to external classical reservoirs that impose nonequilibrium conditions, the chain displays diffusive transport, with finite Onsager coefficients in the thermodynamic limit and a finite Seebeck coefficient.

Contribution to the JSTAT special issue "New Trends in Nonequilibrium Statistical Mechanics: Classical and Quantum Systems (nesmcq18)"

References in corpus (8)

• Heat Transport in low-dimensional systems
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Heat transport in harmonic lattices
• The nonequilibrium discrete nonlinear Schroedinger equation
• A microscopic mechanism for increasing thermoelectric efficiency
• Conservation Laws and Thermodynamic Efficiencies
• A Chain, a Bath, a Sink and a Wall
• Nonequilibrium Invariant Measure under Heat Flow

Cited by in corpus (4)

• Statistical Mechanics of Systems with Negative Temperature
• Chaotic and quantum dynamics in driven-dissipative bosonic chains
• Negative-temperature Fourier transport in one-dimensional systems
• Thermalization of isolated harmonic networks under conservative noise