Quantum noise in a transversely pumped cavity Bose--Hubbard model
arXiv:1803.06014 · doi:10.1103/PhysRevA.97.063602
Abstract
We investigate the quantum measurement noise effects on the dynamics of an atomic Bose lattice gas inside an optical resonator. We describe the dynamics by means of a hybrid model consisting of a Bose--Hubbard Hamiltonian for the atoms and a Heisenberg--Langevin equation for the lossy cavity field mode. We assume that the atoms are prepared initially in the ground state of the lattice Hamiltonian and then start to interact with the cavity mode. We show that the cavity field fluctuations originating from the dissipative outcoupling of photons from the resonator lead to vastly different effects in the different possible ground state phases, i.e., the superfluid, the supersolid, the Mott- and the charge-density-wave phases. In the former two phases with the presence of a superfluid wavefunction, the quantum measurement noise appears as a driving term leading to excess noise depletion of the ground state. The time scale for the system to leave the ground scale is determined analytically. For the latter two incompressible phases, the quantum noise results in the fluctuation of the chemical potential. We derive an analytical expression for the corresponding broadening of the quasiparticle resonances.
References in corpus (15)
- Cold atoms in cavity-generated dynamical optical potentials
- Cavity Opto-Mechanics with a Bose-Einstein Condensate
- Dynamical phase transition in the open Dicke model
- Dynamical properties of ultracold bosons in an optical lattice
- Two-photon gateway in one-atom cavity quantum electrodynamics
- A Superradiant Topological Peierls Insulator inside an Optical Cavity
- REVIEW. Quantum optics with ultracold quantum gases: towards the full quantum regime of the light-matter interaction
- Multipartite Entangled Spatial Modes of Ultracold Atoms Generated and Controlled by Quantum Measurement
- Controlled insertion and retrieval of atoms coupled to a high-finesse optical resonator
- Dicke phase transition without total spin conservation
- Excess noise depletion of a Bose-Einstein condensate in an optical cavity
- Lattice bosons with infinite range checkerboard interactions
- Spectral properties and phase diagram of correlated lattice bosons in an optical cavity within the B-DMFT
- Anomalous Diffusion in a Dynamical Optical Lattice
- Tuning the relaxation dynamics of ultracold atoms with an optical cavity
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- Emergence of continuous rotational symmetries in ultracold atoms coupled to optical cavities
- Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices
- Few-Photon Fluorescence from Ultracold Bosons in an Optical Cavity