Entanglement dynamics in the Lipkin-Meshkov-Glick model

Abstract

The dynamics of the one-tangle and the concurrence is analyzed in the Lipkin-Meshkov-Glick model which describes many physical systems such as the two-mode Bose-Einstein condensates. We consider two different initial states which are physically relevant and show that their entanglement dynamics are very different. A semiclassical analysis is used to compute the one-tangle which measures the entanglement of one spin with all the others, whereas the frozen-spin approximation allows us to compute the concurrence using its mapping onto the spin squeezing parameter.

11 pages, 11 EPS figures, published version

References in corpus (6)

• Entanglement versus Correlations in Spin Systems
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Entanglement in a second order quantum phase transition
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Entanglement in a first order quantum phase transition
• Dynamics of entanglement in quantum computers with imperfections

Cited by in corpus (101)

• Evolution of Entanglement Entropy in One-Dimensional Systems
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Quantum discord and its allies: a review
• Entanglement growth in quench dynamics with variable range interactions
• Quantum phase transitions in the interacting boson model
• Entanglement entropy in the Lipkin-Meshkov-Glick model
• Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
• Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
• Linking entanglement and quantum phase transitions via density functional theory
• Entanglement entropy in collective models
• Ultracold Bosons in a Tilted Multi-level Double-Well Potential
• Quantum Entanglement Manifestation of Transition to Nonlinear Self-trapping for Bose-Einstein Condensates in a Symmetric Double-Well
• Long-range topological insulators and weakened bulk-boundary correspondence
• Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement
• On quantum mean-field models and their quantum annealing
• Quantum Fidelity and Thermal Phase Transitions
• Entanglement and Many-Body effects in Collective Neutrino Oscillations
• Dynamical Realization of Macroscopic Superposition States of Cold Bosons in a Tilted Double Well
• Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model
• Quantum phase transitions in fully connected spin models: an entanglement perspective
• Photon-number entangled states generated in Kerr media with optical parametric pumping
• Fully-connected network of superconducting qubits in a cavity
• Lipkin-Meshkov-Glick Model in a Quantum Otto Cycle
• Dynamical Phase Transitions in models of Collective Neutrino Oscillations
• Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer
• Continuous unitary transformations in two-level boson systems
• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
• Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench
• Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well
• Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
• Phase space geometry and optimal state preparation in quantum metrology with collective spins
• Entanglement and Localization of a Two-Mode Bose-Einstein Condensate
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Finite-size scaling of coherence and steered coherence in the Lipkin-Meshkov-Glick model
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• The Hong-Ou-Mandel effect with atoms
• Dynamical Spin Squeezing via Higher Order Trotter-Suzuki Approximation
• Fermionic entanglement in the Lipkin model
• Dynamics of entanglement in a dissipative Bose-Hubbard dimer
• Macroscopic Superposition of Ultracold Atoms with Orbital Degrees of Freedom
• Macroscopic superposition states of ultracold bosons in a double-well potential
• Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate
• Virtues and limitations of the truncated Holstein-Primakoff description of quantum rotors
• Solitons in cavity-QED arrays containing interacting qubits
• Entanglement dynamics following a sudden quench: an exact solution
• Finite-size criticality in fully connected spin models on superconducting quantum hardware
• Towards macroscopic spin and mechanical superposition via Rydberg interaction
• Importance of realistic phase space representations of initial quantum fluctuations using the stochastic mean-field approach for fermions
• Two-mode Bose gas: Beyond classical squeezing
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Many-body reduced fidelity susceptibility in Lipkin-Meshkov-Glick model
• Entanglement and dephasing of quantum dissipative systems
• Spin squeezing, entanglement and coherence in two driven, dissipative, nonlinear cavities coupled with single and two-photon exchange
• The effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators
• Fisher information manifestation of dynamical stability and transition to self-trapping for Bose-Einstein condensates
• Thermal entanglement in fully connected spin systems and its RPA description
• Quantum Phase Transition in Finite-Size Lipkin-Meshkov-Glick Model
• Direct versus measurement assisted bipartite entanglement in multi-qubit systems and their dynamical generation in spin systems
• Bose-Hubbard dimers, Viviani's windows and pendulum dynamics
• Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
• Holographic Software for Quantum Networks
• Performance evaluation of the discrete truncated Wigner approximation for quench dynamics of quantum spin systems with long-range interactions
• Genuine Multipartite Correlations Distribution in the Criticality of Lipkin-Meshkov-Glick Model
• Classical ergodicity and quantum eigenstate thermalization: Analysis in fully connected Ising ferromagnets
• Entanglement and quantum state geometry of spin system with all-range Ising-type interaction
• Quantifying quantumness of correlations using Gaussian Rényi-2 entropy in optomechanical interfaces
• Transport and Entanglement Generation in the Bose-Hubbard Model
• Generalized Purity and Quantum Phase Transition for Bose-Einstein condensates in a Symmetric Double Well
• Classical dynamics of a two-species condensate driven by a quantum field
• Quantum delocalization on correlation landscape: The key to exponentially fast multipartite entanglement generation
• Dynamics of genuine multipartite correlations in open quantum systems
• Nuclear spin squeezing via electric quadrupole interaction
• Dynamics of spin-orbit-coupled cold atomic gases in a Floquet lattice with an impurity
• Spin squeezing and concurrence
• Spin Squeezing with Arbitrary Quadratic Collective-Spin Interaction
• Coherent state approach to the cross collisional effects in the population dynamics of a two-mode Bose-Einstein condensate
• Polaron-transformed dissipative Lipkin-Meshkov-Glick Model
• Quantum loss of synchronization in the dynamics of two spins
• Entanglement and entropy production in coupled single-mode Bose-Einstein condensates
• Dynamic Symmetries and Quantum Nonadiabatic Transitions
• Mean-field approximation for a Bose-Hubbard dimer with complex interaction strength
• Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons
• Transfer of spin squeezing and particle entanglement between atoms and photons in coupled cavities via two-photon exchange
• Wiseman-Milburn Control for the Lipkin-Meshkov-Glick Model
• Transport through a quantum critical system: A thermodynamically consistent approach
• Correlation and entanglement of two-component Bose-Einstein condensates in a double well
• Inherent quantum resources in stationary spin chains
• Entanglement of spin chains with general boundaries and of dissipative systems
• The effect of a laser dip in the semiclassical dynamics of bosonic Josephson Junctions
• Heisenberg Operator Approach for Spin Squeezing Dynamics
• Asymmetric Transport in Long-Range Interacting Chiral Spin Chains
• Out of equilibrium mean field dynamics in the transverse field Ising model
• $su(d)$-squeezing and many-body entanglement geometry in finite-dimensional systems
• Symmetry conserving Coupled Cluster Doubles wave function and the Self-Consistent odd particle number RPA
• Exact solutions and Dynamical phase transitions in the Lipkin-Meshkov-Glick model with Dual nonlinear interactions
• Entanglement Generation and Dynamics for a Bose-Hubbard model in a Double-Well Potential
• Spin squeezing an ultracold molecule
• Multipartite entanglement in quantum phase transitions
• Classical dynamics of a two-species Bose-Einstein condensate in the presence of nonlinear maser processes
• Generation of spin-squeezed states using dipole-coupled spins