Identifying insulating states of ultra cold atoms with cavity transmission spectrum
arXiv:1403.7369 · doi:10.1088/0953-4075/47/4/045301
Abstract
In this paper, we consider the transmission characteristics of an optical cavity loaded with ultra cold atoms in a one dimensional optical lattice at absolute zero temperature. In particular, we consider the situation when the many body quantum state of the ultra cold atoms is an insulating state with fixed number of atoms at each site, which can be either density wave (DW) or Mott insulator (MI) phase, each showing different type of discrete lattice translational symmetry. We provide a general framework of understanding the transmission spectrum from a single and two cavities/modes loaded with such insulating phases. Further, we also discuss how such a transmission spectrum changes when these insulating phases make a cross over to the superfluid (SF) phase with the changing depth of the optical lattice potential.
arXiv commentPDFlatex, 10 .pdf figures (minor spelling correction in the title only)
References in corpus (36)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- A High Phase-Space-Density Gas of Polar Molecules
- Cold atoms in cavity-generated dynamical optical potentials
- Bose-Einstein Condensation of Erbium
- Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
- Quantum phases of dipolar bosons in optical lattices
- Cavity Opto-Mechanics with a Bose-Einstein Condensate
- Cavity QED with a Bose-Einstein condensate
- Roton-maxon spectrum and stability of trapped dipolar condensates
- Strong dipolar effects in a quantum ferrofluid
- Quantum degenerate dipolar Fermi gas
- The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
- Cavity Nonlinear Optics at Low Photon Numbers from Collective Atomic Motion
- Supersolids versus phase separation in two-dimensional lattice bosons
- Emergent superfluid crystals, frustration, and topologically defected states in multimode cavity QED
- Supersolids in the Bose-Hubbard Hamiltonian
- 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
- Creation of a dipolar superfluid in optical lattices
- Mott insulator states of ultracold atoms in optical resonators
- Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model
- Atom-light crystallization of BECs in multimode cavities: Nonequilibrium classical and quantum phase transitions, emergent lattices, supersolidity, and frustration
- Density wave and supersolid phases of correlated bosons in an optical lattice
- Normal mode splitting and mechanical effects of an optical lattice in a ring cavity
- REVIEW. Quantum optics with ultracold quantum gases: towards the full quantum regime of the light-matter interaction
- The quantum ground state of self-organized atomic crystals in optical resonators
- QND measurements and state preparation in quantum gases by light detection
- Quantum stability of self-organized atomic insulator-like states in optical resonators
- Light scattering from ultracold atoms in optical lattices as an optical probe of quantum statistics
- Few-body bound states in dipolar gases and their detection
- Quantum optics with quantum gases: controlled state reduction by designed light scattering
- Quantum Optics with Quantum Gases
- Quantum optical measurements in ultracold gases: macroscopic Bose-Einstein condensates
- Fock space exploration by angle resolved transmission through quantum diffraction grating of cold atoms in an optical lattice