Non-equilibrium quantum phase transition in a spinor quantum gas in a lattice coupled to a membrane
arXiv:1905.03411 · doi:10.1103/PhysRevA.100.053616
Abstract
Recently, a novel kind of hybrid atom-optomechanical system, consisting of atoms in a lattice coupled to a membrane, has been experimentally realized [Vochezer {\it et al.,} Phys. Rev. Lett. \textbf{120}, 073602 (2018)], which promises a viable contender in the competitive field of simulating non-equilibrium many-body physics. Here we are motivated to investigate a spinor Bose gas coupled to a vibrational mode of a nano-membrane, focusing on analyzing the role of the spinor degrees of freedom therein. Through an adiabatic elimination of the degrees of freedom of the quantum oscillator, we derive an effective Hamiltonian which reveals a competition between the force localizing the atoms and the membrane displacement. We analyze the dynamical stability of the steady state using Bogoliubov-de Gennes approach and derive the stationary phase diagram in the parameter space. We investigate the non-equilibrium quantum phase transition from a localized symmetric state of the atom cloud to a shifted symmetry-broken state, where we present a detailed analysis of the effects of the spin degree of freedom. Our work presents a simple way to study the effects of the spinor degree of freedom on the non-equilibrium nonlinear phenomena that is complementary to ongoing experiments on the hybrid atom-optomechanical system.
References in corpus (29)
- Cavity Optomechanics
- Cold bosonic atoms in optical lattices
- The cold atom Hubbard toolbox
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Landau and Dynamical Instabilities of the Superflow of Bose-Einstein Condensates in Optical Lattices
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Tunable-range, photon-mediated atomic interactions in multimode cavity QED
- Quantum back action evading measurement of motion in a negative mass reference frame
- Self-organization of a Bose-Einstein condensate in an optical cavity
- Realization of an optomechanical interface between ultracold atoms and a membrane
- Dynamics and stability of dark solitons in exciton-polariton condensates
- Sympathetic cooling of a membrane oscillator in a hybrid mechanical-atomic system
- Nonequilibrium Phase Transition of Interacting Bosons in an Intra-Cavity Optical Lattice
- Generation and Detection of Atomic Spin Entanglement in Optical Lattices
- Cavity-Enhanced Long-Distance Coupling of an Atomic Ensemble to a Micromechanical Membrane
- Cavity-quantum-electrodynamical toolbox for quantum magnetism
- Appearance and disappearance of quantum correlations in measurement-based feedback control of a mechanical oscillator
- Spin-dependent Optical Superlattice
- Coherent control and feedback cooling in a remotely-coupled hybrid atom-optomechanical system
- Sound speed of a Bose-Einstein condensate in an optical lattice
- Light-Mediated Collective Atomic Motion in an Optical Lattice Coupled to a Membrane
- Long Distance Coupling of a Quantum Mechanical Oscillator to the Internal States of an Atomic Ensemble
- Combined feedback and sympathetic cooling of a mechanical oscillator coupled to ultracold atoms
- Nonequilibrium Quantum Phase Transition in a Hybrid Atom-Optomechanical System
- Optomechanics (a brief review)
- Probing the Flat Band of Optically-Trapped Spin-Orbital Coupled Bose Gases Using Bragg Spectroscopy
- Cavity-induced emergent topological spin textures in a Bose Einstein condensate
- Spinor polariton condensates under nonresonant pumping: Steady states and elementary excitations
- Steady-state phase diagram of quantum gases in a lattice coupled to a membrane