Numerically exact treatment of many body self-organization in a cavity
arXiv:1909.07335 · doi:10.1103/PhysRevLett.125.093604
Abstract
We investigate the full quantum evolution of ultracold interacting bosonic atoms on a chain and coupled to an optical cavity. Extending the time-dependent matrix product state techniques and the many-body adiabatic elimination technique to capture the global coupling to the cavity mode and the open nature of the cavity, we examine the long time behavior of the system beyond the mean-field elimination of the cavity field. We investigate the many body steady states and the self-organization transition for a wide range of parameters. We show that in the self-organized phase the steady state consists in a mixture of the mean-field predicted density wave states and excited states with additional defects. In particular, for large dissipation strengths a steady state with a fully mixed atomic sector is obtained crucially different from the predicted mean-field state.
This new version of the article focuses on the physical aspects of the dynamics of atoms coupled to a cavity mode. The methods developed to perform this analysis are detailed in arXiv:2004.11807
References in corpus (40)
- The density-matrix renormalization group in the age of matrix product states
- Real time evolution using the density matrix renormalization group
- Strong light-matter coupling in two-dimensional atomic crystals
- Cold atoms in cavity-generated dynamical optical potentials
- Quantum trajectories and open many-body quantum systems
- Dynamical phase transition in the open Dicke model
- Minimally Entangled Typical Thermal State Algorithms
- Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
- Cavity-mediated electron-photon superconductivity
- Terahertz light-matter interaction beyond unity coupling strength
- Self-organization of a Bose-Einstein condensate in an optical cavity
- Ultracold atoms in optical lattices generated by quantized light fields
- Dissipation induced Tonks-Girardeau gas in an optical lattice
- Dissipation Induced Structural Instability and Chiral Dynamics in a Quantum Gas
- Spinor self-ordering of a quantum gas in a cavity
- Mott insulator states of ultracold atoms in optical resonators
- Interaction-induced impeding of decoherence and anomalous diffusion
- Formation of a spin texture in a quantum gas coupled to a cavity
- Dissipation Induced Nonstationarity in a Quantum Gas
- Nonequilibrium Phase Transition of Interacting Bosons in an Intra-Cavity Optical Lattice
- A Superradiant Topological Peierls Insulator inside an Optical Cavity
- Superradiant and Lasing States in Driven-Dissipative Dicke Models
- Dissipation-induced instabilities of a spinor Bose-Einstein condensate inside an optical cavity
- Atom-only descriptions of the driven-dissipative Dicke model
- Manipulating quantum materials with quantum light
- Dynamical spin-orbit coupling of a quantum gas
- Cavity-quantum-electrodynamical toolbox for quantum magnetism
- Meissner-like effect for synthetic gauge field in multimode cavity QED
- Simulating generic spin-boson models with matrix product states
- Cavity-QED with cold atoms trapped in a double-well potential
- Microscopic physics of quantum self-organisation of optical lattices in cavities
- Superfluid--Mott insulator transition of ultracold superradiant bosons in a cavity
- Boson-mediated quantum spin simulators in transverse fields: XY model and spin-boson entanglement
- A cavity-induced artificial gauge field in a Bose-Hubbard ladder
- Unraveling the quantum nature of atomic self-ordering in a ring cavity
- Self-ordering dynamics of ultracold atoms in multicolored cavity fields
- Interacting spins in a cavity: finite size effects and symmetry-breaking dynamics
- Cavity-induced emergent topological spin textures in a Bose Einstein condensate
- Tuning the relaxation dynamics of ultracold atoms with an optical cavity
- Cavity-induced spin-orbit coupling in an interacting bosonic wire
Cited by in corpus (30)
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- Exactness of mean-field equations for open Dicke models with an application to pattern retrieval dynamics
- Exact description of quantum stochastic models as quantum resistors
- A cavity-QED quantum simulator of dynamical phases of a BCS superconductor
- Breaking strong symmetries in dissipative quantum systems: Bosonic atoms coupled to a cavity
- Many-body non-Hermitian skin effect under dynamic gauge coupling
- Many-Body Open Quantum Systems
- First-order photon condensation in magnetic cavities: A two-leg ladder model
- Dicke transition in open many-body systems determined by fluctuation effects
- The effect of active photons on dynamical frustration in cavity QED
- Conventional and unconventional Dicke models: Multistabilities and nonequilibrium dynamics
- Critical light-matter entanglement at cavity mediated phase transition
- Theoretical methods to treat a single dissipative bosonic mode coupled globally to an interacting many body system
- Controlling the dynamics of atomic correlations via the coupling to a dissipative cavity
- Fluctuation-Induced Bistability of Fermionic Atoms Coupled to a Dissipative Cavity
- Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices
- A trapped ion in an optical cavity: numerical study of an optomechanical transition in the few-photon regime
- Self-organized cavity bosons beyond the adiabatic elimination approximation
- Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
- Temporal bistability in the dissipative Dicke-Bose-Hubbard system
- Local vs non-local dynamics in cavity-coupled Rydberg atom arrays
- Dynamical phases of a BEC in a bad optical cavity at optomechanical resonance
- Genuine Quantum effects in Dicke-type Models at large atom numbers
- One-dimensional extended Hubbard model coupled with an optical cavity
- From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
- Master Equation for a Quantum Gas of Polarizable Particles in Cavities
- Time-Convolutionless Master Equation Applied to Adiabatic Elimination
- Dynamics and fragmentation of bosons in an optical lattice inside a cavity using Wannier and position bases
- Dissipative Generation of Currents by Nonreciprocal Local and Global Environments
- Microscopy of cavity-induced density-wave ordering in ultracold gases