Negative Temperature States in the Discrete Nonlinear Schroedinger Equation

Abstract

We explore the statistical behavior of the discrete nonlinear Schroedinger equation. We find a parameter region where the system evolves towards a state characterized by a finite density of breathers and a negative temperature. Such a state is metastable but the convergence to equilibrium occurs on astronomical time scales and becomes increasingly slower as a result of a coarsening processes. Stationary negative-temperature states can be experimentally generated via boundary dissipation or from free expansions of wave packets initially at positive temperature equilibrium.

4 pages, 5 figures

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Cited by in corpus (44)

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• On the dispute between Boltzmann and Gibbs entropy
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• Localization transition in the Discrete Non-Linear Schrödinger Equation: ensembles inequivalence and negative temperatures
• Off-equilibrium Langevin dynamics of the discrete nonlinear Schroedinger chain
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• A Chain, a Bath, a Sink and a Wall
• Coarsening dynamics in a simplified DNLS model
• Condensation transition and ensemble inequivalence in the Discrete Nonlinear Schrödinger Equation
• Wavelet imaging of transient energy localization in nonlinear systems at thermal equilibrium: the case study of NaI crystals at high temperature
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• Coupled transport in rotor models
• Statistical mechanics of systems with long-range interactions and negative absolute temperature
• Chaos and localization in the Discrete Nonlinear Schrödinger Equation
• Langevin equation in systems with also negative temperatures
• Relaxation and coarsening of weakly-interacting breathers in a simplified DNLS chain
• Boundary-induced instabilities in coupled oscillators
• Non-Gibbs states on a Bose-Hubbard lattice
• Finite-size localization scenarios in condensation transitions
• Fragile Many Body Ergodicity
• Statistical Mechanics of a Discrete Schrödinger Equation with Saturable Nonlinearity
• Geometrical aspects in the analysis of microcanonical phase-transitions
• Negative temperature states as exact equilibrium solutions of the Wave Kinetic equation for one dimensional lattices
• Localization in the Discrete Non-Linear Schrödinger Equation and geometric properties of the microcanonical surface
• Nonequilibrium phenomena in nonlinear lattices: from slow relaxation to anomalous transport
• Coupled transport in a linear-stochastic Schrödinger Equation
• Thermalization in the one-dimensional Salerno model lattice
• Condensation induced by coupled transport processes
• Equivalence of ensembles, condensation and glassy dynamics in the Bose-Hubbard Hamiltonian
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• Glassy dynamics in strongly anharmonic chains of oscillators
• Intensity pseudo-localized phase in the glassy random laser
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• Localization in boundary-driven lattice models
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• Frozen dynamics of a breather induced by an adiabatic invariant
• Thermalization in a nonlinear variant of the discrete nonlinear Schrödinger Equation
• Equilibrium and Non-equilibrium Gross-Pitaevskii Lattice Dynamics: Interactions, Disorder, and Thermalization
• Effective Equations in complex systems: from Langevin to machine learning
• Localization and "classical entanglement'' in the Discrete Non-Linear Schrödinger Equation