Multiparticle Entanglement Dynamics of Quantum Chaos in a Bose-Einstein condensate
arXiv:2012.12429 · doi:10.1103/PhysRevA.103.052417
Abstract
We study the particle-entanglement dynamics witnessed by the quantum Fisher information (QFI) of a trapped Bose-Einstein condensate governed by the kicked rotor Hamiltonian. The dynamics is investigated with a beyond mean-field approach. We link the time scales of the validity of this approximation in, both, classical regular and chaotic regions, with the maximum Lyapunov exponents of the classical system. This establishes an effective connection between the classical chaos and the QFI. We finally study the critical point of a quantum phase transition using the beyond mean-field approximation by considering a two-mode bosonic Josephson junction with attractive interparticle interaction.
References in corpus (62)
- Entanglement detection
- Quantum metrology with nonclassical states of atomic ensembles
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Many-particle entanglement with Bose--Einstein condensates
- Nonlinear atom interferometer surpasses classical precision limit
- Atom chip based generation of entanglement for quantum metrology
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum metrology from a quantum information science perspective
- Matter-wave interferometry in a double well on an atom chip
- Fisher information and multiparticle entanglement
- Multipartite entanglement and high precision metrology
- Implementation of Cavity Squeezing of a Collective Atomic Spin
- Quantum Superposition States of Bose-Einstein Condensates
- Fisher Information and entanglement of non-Gaussian spin states
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- Measuring multipartite entanglement via dynamic susceptibilities
- Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice
- Entanglement in a second order quantum phase transition
- Josephson effect between trapped Bose-Einstein condensates
- Many particle entanglement in two-component Bose-Einstein Condensates
- The Gross-Pitaevskii Equation for Bose Particles in a Double Well Potential: Two Mode Models and Beyond
- Bell Correlations in a Bose-Einstein Condensate
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
- Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling
- Squeezing the Collective Spin of a Dilute Atomic Ensemble by Cavity Feedback
- Reduced back-action for phase sensitivity 10 times beyond the standard quantum limit
- Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
- Observation of Quantum Phase Transitions with Parity-Symmetry Breaking and Hysteresis
- Multipartite entanglement in topological quantum phases
- Coherent control of spin squeezing
- Bridging entanglement dynamics and chaos in semiclassical systems
- Crossing Over from Attractive to Repulsive Interactions in a Tunneling Bosonic Josephson Junction
- Spin Squeezing via One-Axis Twisting with Coherent Light
- Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
- Dynamic generation of spin-squeezed states in bosonic Josephson junctions
- Quantum metrology with a quantum-chaotic sensor
- Witnessing Multipartite Entanglement without Entanglement Witness Operators
- Instabilities of a Bose-Einstein condensate in a periodic potential: an experimental investigation
- Chaotic dynamical ferromagnetic phase induced by non-equilibrium quantum fluctuations
- Transition to Instability in a Periodically Kicked Bose-Einstein Condensate on a Ring
- Origin of the slow growth of entanglement entropy in long-range interacting spin systems
- Sub Shot-Noise Phase Sensitivity with a Bose-Einstein Condensate Mach-Zehnder Interferometer
- Multipartite Entanglement at Finite Temperature
- Experimental investigation of early-time diffusion in the quantum kicked rotor using a Bose-Einstein condensate
- Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
- Fidelity of a Bose-Einstein Condensate
- Fast generation of spin-squeezed states in bosonic Josephson junctions
- Effect of phase noise on useful quantum correlations in Bose Josephson junctions
- Witnessing multipartite entanglement by detecting asymmetry
- Multipartite entanglement after a quantum quench
- Fast and optimal generation of entanglement in bosonic Josephson junctions
- Nonlinear Landau-Zener Processes in a Periodic Driving Field
- -Kicked Quantum Rotors: Localization and `Critical' Statistics
- Multipartite-Entanglement Tomography of a Quantum Simulator
- Quantum chaos in a Bose-Hubbard dimer with modulated tunnelling
- Time reversal of Bose-Einstein condensates
- Multipartite-Entanglement Dynamics in Regular-to-Ergodic Transition: a Quantum-Fisher-Information approach
- Probing Quantum Chaos in many-body quantum systems by the induced dissipation
- Tracking quasi-classical chaos in ultracold boson gases
- Twist-and-Turn Spin Squeezing in Bose-Einstein Condensates