Two-axis spin squeezing in two cavities

Abstract

Ultracold atoms in an ultrahigh-finesse optical cavity are a powerful platform to produce spin squeezing since photon of cavity mode can induce nonlinear spin-spin interaction and thus generate a one-axis twisting Hamiltonian $H_{\text{OAT}}=q{J}_x^2$, whose corresponding maximal squeezing factor scales as $N^{-2/3}$, where $N$ is the atomic number. On the contrary, for the other two-axis twisting Hamiltonian $H_{\text{TAT}}=q(J_x^2-J_y^2)$, the maximal squeezing factor scales as $N^{-1}$, approaching the Heisenberg limit. In this paper, inspired by recent experiments of cavity-assisted Raman transitions, we propose a scheme, in which an ensemble of ultracold six-level atoms interacts with two quantized cavity fields and two pairs of Raman lasers, to realize a tunable two-axis spin Hamiltonian . For proper parameters, the above one- and two- axis twisting Hamiltonians are recovered, and the scaling of $N^{-1}$ of the maximal squeezing factor can occur naturally. On the other hand, in the two-axis twisting Hamiltonian, spin squeezing is usually reduced when increasing the effective atomic resonant frequency ${\omega }_0$. Surprisingly, we find that by combined with the dimensionless parameter $\chi (>-1)$, the effective atomic resonant frequency ${\omega }_0$ can enhance spin squeezing largely. These results are benefit for achieving the required spin squeezing in experiments.

arXiv comment5 figures

References in corpus (31)

• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Quantum interface between light and atomic ensembles
• Quantum spin squeezing
• Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
• Implementation of Cavity Squeezing of a Collective Atomic Spin
• Magnetic sensitivity beyond the projection noise limit by spin squeezing
• Squeezing and entanglement of atomic beams
• Emergent superfluid crystals, frustration, and topologically defected states in multimode cavity QED
• Realization of the Dicke model using cavity-assisted Raman transitions
• Dicke quantum spin glass of atoms and photons
• Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State
• Frustration and glassiness in spin models with cavity-mediated interactions
• Two-resonator circuit QED: A superconducting quantum switch
• Conditional Spin-Squeezing of a Large Ensemble via the Vacuum Rabi Splitting
• Unconditional two-mode squeezing of separated atomic ensembles
• Spin squeezing: transforming one-axis-twisting into two-axis-twisting
• Creating massive entanglement of Bose condensed atoms
• Coherent control of spin squeezing
• Field squeeze operators in optical cavities with atomic ensembles
• Cavity-aided non-demolition measurements for atom counting and spin squeezing
• Multimode circuit QED with hybrid metamaterial transmission lines
• Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model
• Collective strong coupling in multimode cavity QED
• Route from spontaneous decay to complex multimode dynamics in cavity QED
• Entanglement and spin squeezing of Bose condensed atoms
• Efficient Spin Squeezing with Optimized Pulse Sequences
• Atomic spin squeezing in an optical cavity
• Collective excitations and marginal stability of quantum Ising spin glasses
• Interaction of bimodal fields with few-level atoms in cavities and traps
• Analog of the spin-orbit induced anomalous Hall effect with quantized radiation
• Creating a tunable spin squeezing via a time-dependent collective atom-photon coupling

Cited by in corpus (2)

• Spin squeezing in dipolar spinor condensates
• Spin squeezing of the non-Hermitian one-axis twisting model