Localization in the discrete non-linear Schrödinger equation and geometric properties of the microcanonical surface
DOI10.1007/s10955-021-02870-7zbMath1489.82049arXiv2102.10298OpenAlexW3133076463MaRDI QIDQ2073431
Antonello Scardicchio, Carlo Vanoni, Federico Balducci, Riccardo Piergallini, Claudio Arezzo
Publication date: 2 February 2022
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.10298
Morse theorylocalizationBose-Einstein condensatediscrete nonlinear Schrödinger equationergodicity breaking
NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Many-body theory; quantum Hall effect (81V70) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamic critical phenomena in statistical mechanics (82C27) PDEs in connection with mechanics of particles and systems of particles (35Q70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On many-body localization for quantum spin chains
- Asymptotic quantum many-body localization from thermal disorder
- Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion
- Integrals of motion in the many-body localized phase
- The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
- Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation
- Coarsening dynamics in a simplified DNLS model
- Metal--insulator transition in a weakly interacting many-electron system with localized single-particle states
- Complexity of random smooth functions on the high-dimensional sphere
- Asymptotic Localization of Energy in Nondisordered Oscillator Chains
- Phase space geometry and slow dynamics
- Ergodic and localized regions in quantum spin glasses on the Bethe lattice
- On the out-of-equilibrium relaxation of the Sherrington-Kirkpatrick model
- Random Matrices and Complexity of Spin Glasses
- Local integrals of motion in many‐body localized systems
- A note about the uniform distribution on the intersection of a simplex and a sphere
- Gibbs states and the set of solutions of random constraint satisfaction problems
- The Fermi–Pasta–Ulam problem: Fifty years of progress
- Localization transition in the discrete nonlinear Schrödinger equation: ensembles inequivalence and negative temperatures
- Breathers as metastable states for the discrete NLS equation
This page was built for publication: Localization in the discrete non-linear Schrödinger equation and geometric properties of the microcanonical surface
