Relationship between spin squeezing and single-particle coherence in two-component Bose-Einstein condensates with Josephson coupling

Abstract

We investigate spin squeezing of a two-mode boson system with a Josephson coupling. An exact relation between the squeezing and the single-particle coherence at the maximal-squeezing time is discovered, which provides a more direct way to measure the squeezing by readout the coherence in atomic interference experiments. We prove explicitly that the strongest squeezing is along the $J_z$ axis, indicating the appearance of atom number-squeezed state. Power laws of the strongest squeezing and the optimal coupling with particle number $N$ are obtained based upon a wide range of numerical simulations.

4 figures, revtex4, new refs. are added

References in corpus (38)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Spin domains in ground state spinor Bose-Einstein condensates
• The dynamics of component separation in a binary mixture of Bose-Einstein condensates
• Many-particle entanglement with Bose--Einstein condensates
• Matter-wave interferometry in a double well on an atom chip
• Measurements of Relative Phase in Binary Mixtures of Bose-Einstein Condensates
• Quantum Superposition States of Bose-Einstein Condensates
• Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip
• Many particle entanglement in two-component Bose-Einstein Condensates
• Spin squeezing and pairwise entanglement for symmetric multiqubit states
• Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling
• Entanglement of two-mode Bose-Einstein condensates
• Interference of Bose-Einstein Condensates on an Atom Chip
• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
• Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases
• Generation of atom-photon entangled states in atomic Bose-Einstein condensate via electromagnetically induced transparency
• Creating massive entanglement of Bose condensed atoms
• Coherent control of spin squeezing
• Probing number squeezing of ultracold atoms across the superfluid-Mott insulator transition
• Dynamic splitting of a Bose-Einstein Condensate
• Spin Squeezing via One-Axis Twisting with Coherent Light
• Macroscopic quantum self-trapping and atomic tunneling in two-species Bose-Einstein condensates
• Positive P simulations of spin squeezing in a two-component Bose condensate
• Bosonic amplification of noise-induced suppression of phase diffusion
• Extended Coherence Time with Atom-Number Squeezed Sources
• Generation of arbitrary Dicke states in spinor Bose-Einstein condensates
• Storage of spin squeezing in a two-component Bose-Einstein condensate
• Uniting Bose-Einstein condensates in optical resonators
• Spin squeezing and maximal-squeezing time
• Entanglement and spin squeezing of Bose condensed atoms
• Many-body quantum coherence and interaction blockade in Josephson-linked Bose-Einstein condensates
• Optimized Double-well quantum interferometry with Gaussian squeezed-states
• Collapses and revivals of exciton emission in a semiconductor microcavity: detuning and phase-space filling effects
• Matter-wave squeezing and the generation of SU(1,1) and SU(2) coherent-states via Feshbach resonances
• Generation of twin Fock states via transition from a two-component Mott insulator to a superfluid
• Dynamics of a two-component atomic Bose-Einstein condensate

Cited by in corpus (10)

• Quantum spin squeezing
• Spin squeezing in a generalized one-axis twisting model
• Optimal control of number squeezing in trapped Bose-Einstein condensates
• Fisher information manifestation of dynamical stability and transition to self-trapping for Bose-Einstein condensates
• Atom-number squeezing and bipartite entanglement of two-component Bose-Einstein condensates: analytical results
• Persistent spin squeezing of dissipative Lipkin-Meshkov-Glick Model embedded in a general thermal environment
• Polarization squeezing and multipartite entanglement of triphoton states
• Dynamical generation of phase-squeezed states in a two-component Bose-Einstein condensates
• Heisenberg Operator Approach for Spin Squeezing Dynamics
• Phase diffusion of a two-component Bose-Einstein condensates: exact and short-time solutions for arbitrary coherent spin state