Ultracold Spin-Orbit Coupled Bose-Einstein Condensate in a Cavity: Route to Magnetic Phases Through Cavity Transmission

Abstract

We study the spin orbit coupled ultra cold Bose-Einstein condensate placed in a single mode Fabry-Pérot cavity. The cavity introduces a quantum optical lattice potential which dynamically couples with the atomic degrees of freedom and realizes a generalized extended Bose Hubbard model whose zero temperature phase diagram can be controlled by tuning the cavity parameters. In the non-interacting limit, where the atom-atom interaction is set to zero, the resulting atomic dispersion shows interesting features such as bosonic analogue of Dirac points, cavity controlled Hofstadter spectrum which bears the hallmark of pseudo-spin-1/2 bosons in presence of Abelian and non-Abelian gauge field (the later due to spin-orbit coupling) in a cavity induced optical lattice potential. In the presence of atom-atom interaction, using a mapping to a generalized Bose Hubbard model of spin-orbit coupled bosons in classical optical lattice, we show that the system realizes a host of quantum magnetic phases whose magnetic order can be be detected from the cavity transmission. This provides an alternative approach for detecting quantum magnetism in ultra cold atoms. We discuss the effect of cavity induced optical bistability on this phases and their experimental consequences.

arXiv commentLatex file with pdf figures

References in corpus (64)

• Topological Insulators
• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Feshbach Resonances in Ultracold Gases
• Cold bosonic atoms in optical lattices
• A spin-orbit coupled Bose-Einstein condensate
• Artificial gauge potentials for neutral atoms
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Synthetic magnetic fields for ultracold neutral atoms
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Spin-orbit coupling in quantum gases
• Cold atoms in cavity-generated dynamical optical potentials
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Tuning the scattering length with an optically induced Feshbach resonance
• Cavity QED with a Bose-Einstein condensate
• Probing many-body states of ultra-cold atoms via noise correlations
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• Merging of Dirac points in a two-dimensional crystal
• Phase diagram of two-component bosons on an optical lattice
• Correlations and Counting Statistics of an Atom Laser
• Feshbach resonances in rubidium 87: Precision measurement and analysis
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
• Direct, Non-Destructive Imaging of Magnetization in a Spin-1 Bose Gas
• Emergent superfluid crystals, frustration, and topologically defected states in multimode cavity QED
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Cold atom dynamics in a quantum optical lattice potential
• Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram
• Dicke quantum spin glass of atoms and photons
• Ultracold atoms in optical lattices generated by quantized light fields
• Probing quantum phases of ultracold atoms in optical lattices by transmission spectra in cavity QED
• Vortices in spin-orbit-coupled Bose-Einstein condensates
• Cooling in strongly correlated optical lattices: prospects and challenges
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Mott insulator states of ultracold atoms in optical resonators
• Very high precision bound state spectroscopy near a ${}^{85}$Rb Feshbach resonance
• Bloch-Zener oscillations across a merging transition of Dirac points
• Inducing an optical Feshbach resonance via stimulated Raman coupling
• Superfluid-insulator transitions of two-species Bosons in an optical lattice
• Self-organization of atoms in a cavity field: threshold, bistability and scaling laws
• Magnetic phases of bosons with synthetic spin-orbit coupling in optical lattices
• Dynamical Mean Field Theory of the Bose-Hubbard Model
• Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
• Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
• Detecting antiferromagnetism of atoms in an optical lattice via optical Bragg scattering
• Characterization of elastic scattering near a Feshbach resonance in rubidium 87
• Composite fermion state of spin-orbit coupled bosons
• Bose-Einstein Condensates with Cavity-Mediated Spin-Orbit Coupling
• QND measurements and state preparation in quantum gases by light detection
• Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field
• Light scattering from ultracold atoms in optical lattices as an optical probe of quantum statistics
• Bose-Einstein Condensate in a Honeycomb Optical Lattice: Fingerprint of Superfluidity at the Dirac Point
• Enlarging and cooling the Néel state in an optical lattice
• Quantum optics with quantum gases: controlled state reduction by designed light scattering
• Synthetic spin-orbit interactions and magnetic fields in ring-cavity QED
• Superfluid-Insulator transition of two-species bosons with spin-orbit coupling
• Particles in non-Abelian gauge potentials - Landau problem and insertion of non-Abelian flux
• Cavity optomechanics with synthetic Landau levels of ultra cold Fermi gas
• Interaction induced mergence of Dirac points in Non-Abelian optical lattices
• Fock space exploration by angle resolved transmission through quantum diffraction grating of cold atoms in an optical lattice

Cited by in corpus (25)

• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Spinor self-ordering of a quantum gas in a cavity
• Formation of a spin texture in a quantum gas coupled to a cavity
• Ultracold fermions in a cavity-induced artificial magnetic field
• A Superradiant Topological Peierls Insulator inside an Optical Cavity
• Dynamical spin-orbit coupling of a quantum gas
• Meissner-like effect for synthetic gauge field in multimode cavity QED
• Cavity-induced chiral states of fermionic quantum gases
• Cavity-induced generation of non-trivial topological states in a two-dimensional Fermi gas
• Enhanced stripe phases in spin-orbit-coupled Bose-Einstein condensates in ring cavities
• A cavity-induced artificial gauge field in a Bose-Hubbard ladder
• Effects of Spin-Orbit Coupling on Jaynes-Cummings and Tavis-Cummings Models
• Spin-Orbit Coupling Induced Back-action Cooling in Cavity-Optomechanics with a Bose-Einstein Condensate
• Magnetic orders in a Fermi gas induced by cavity-field fluctuations
• Atomic self-organization emerging from tunable quadrature coupling
• Engineering Many-Body Dynamics with Quantum Light Potentials and Measurements
• Cavity-induced superconducting and $4k_F$ charge-density-wave states
• Photon-Induced Spin-Orbit Coupling in Ultracold Atoms inside Optical Cavity
• Dissipative time evolution of a chiral state after a quantum quench
• Cavity-induced spin-orbit coupling in an interacting bosonic wire
• Many-Body Phases of a Planar Bose-Einstein Condensate with Cavity-Induced Spin-Orbit Coupling
• Tuning the Chern number and Berry curvature with spin-orbit coupling and magnetic textures
• Superradiant phase transitions in one-dimensional correlated Fermi gases with cavity-induced umklapp scattering
• Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field
• Generation, manipulation and detection of snake state trajectories of a neutral atom in a ring-cavity