Ultracold Spin-Orbit Coupled Bose-Einstein Condensate in a Cavity: Route to Magnetic Phases Through Cavity Transmission
arXiv:1405.4500 · doi:10.1103/PhysRevA.90.023627
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.
Latex file with pdf figures
References in corpus (25)
- Many-Body Physics with Ultracold Gases
- Cold atoms in cavity-generated dynamical optical potentials
- 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
- Merging of Dirac points in a two-dimensional crystal
- 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
- 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
- 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
- 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
- Self-organization of atoms in a cavity field: threshold, bistability and scaling laws
- Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
- Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
- Characterization of elastic scattering near a Feshbach resonance in rubidium 87
- Composite fermion state of spin-orbit coupled bosons
- QND measurements and state preparation in quantum gases by light detection
- Light scattering from ultracold atoms in optical lattices as an optical probe of quantum statistics
- Enlarging and cooling the Néel state in an optical lattice
- Quantum optics with quantum gases: controlled state reduction by designed light scattering
Cited by in corpus (6)
- A Superradiant Topological Peierls Insulator inside an Optical Cavity
- Meissner-like effect for synthetic gauge field in multimode cavity QED
- Effects of Spin-Orbit Coupling on Jaynes-Cummings and Tavis-Cummings Models
- A cavity-induced artificial gauge field in a Bose-Hubbard ladder
- Photon-Induced Spin-Orbit Coupling in Ultracold Atoms inside Optical Cavity
- Tuning the Chern number and Berry curvature with spin-orbit coupling and magnetic textures