The nature of self-localization of Bose-Einstein condensates in deep optical lattices

Abstract

We analyze the nature of a novel type of self-trapping transition called self-localization (SL) of Bose-Einstein condensates in one-dimensional optical lattices in the presence of weak local dissipation. SL has recently been observed in several studies based upon the discrete nonlinear Schrödinger equation (DNLS), however, its origin is hitherto an open question. We show that SL is based upon a self-trapping crossover in the system. Furthermore, we establish that the origin of the crossover is the Peierls-Nabarro barrier, an energy threshold describing the stability of self-trapped states. Beyond the mean-field description the crossover becomes even sharper which is also reflected by a sudden change of the coherence of the condensate. While we expect that the crossover can be readily studied in current experiments in deep optical lattices, our results allow for the preparation of robust and long-time coherent quantum states.

References in corpus (14)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Squeezing and entanglement in a Bose-Einstein condensate
• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Classical bifurcation at the transition from Rabi to Josephson dynamics
• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• Experimental demonstration of single-site addressability in a two-dimensional optical lattice
• Dissipation induced coherence of a two-mode Bose-Einstein condensate
• Beyond mean-field dynamics in open Bose-Hubbard chains
• Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
• Dynamical Instability in a Trimeric Chain of Interacting Bose-Einstein Condensates
• Some remarks on the coherent-state variational approach to nonlinear boson models
• Transfer of BECs through discrete breathers in an optical lattice
• Global Phase Space of Coherence and Entanglement in a double-well BEC
• Quantum localization and bound state formation in Bose-Einstein condensates

Cited by in corpus (13)

• Weakly nonergodic dynamics in the Gross--Pitaevskii lattice
• The Dissipative Bose-Hubbard Model. Methods and Examples
• Decay and fragmentation in an open Bose-Hubbard chain
• Triangular Bose-Hubbard trimer as a minimal model for a superfluid circuit
• Dynamics of entanglement in a dissipative Bose-Hubbard dimer
• Quantum thermalization via percolation
• Stationary and traveling solitons via local dissipations in Bose-Einstein condensates in ring optical lattices
• Dynamical phase diagram of Gaussian BEC wave packets in optical lattices
• Monodromy and chaos for condensed bosons in optical lattices
• Semiclassical theory of strong localization for quantum thermalization
• Localization in the Discrete Non-Linear Schrödinger Equation and geometric properties of the microcanonical surface
• Quantum tomography of the superfluid-insulator transition for a mesoscopic atomtronic ring
• Mesoscopic superfluid to superconductor transition