Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems
arXiv:2105.00004 · doi:10.1103/PhysRevA.105.013716
Abstract
We describe an efficient numerical method for simulating the dynamics of interacting spin ensembles in the presence of dephasing and decay. The method builds on the discrete truncated Wigner approximation for isolated systems, which combines the mean-field dynamics of a spin ensemble with a Monte Carlo sampling of discrete initial spin values to account for quantum correlations. Here we show how this approach can be generalized for dissipative spin systems by replacing the deterministic mean-field evolution by a stochastic process, which describes the decay of coherences and populations while preserving the length of each spin. We demonstrate the application of this technique for simulating nonclassical spin-squeezing effects or the dynamics and steady states of cavity QED models with hundred thousand interacting two-level systems and without relying on any symmetries. This opens up the possibility to perform accurate real-scale simulations of a diverse range of experiments in quantum optics or with solid-state spin ensembles under realistic laboratory conditions.
arXiv comment15 pages , 9 figures
References in corpus (69)
- Probing many-body dynamics on a 51-atom quantum simulator
- Efficient simulation of one-dimensional quantum many-body systems
- Quantum metrology with nonclassical states of atomic ensembles
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Real time evolution using the density matrix renormalization group
- Trapped-Ion Quantum Computing: Progress and Challenges
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Many-particle entanglement with Bose--Einstein condensates
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Atom chip based generation of entanglement for quantum metrology
- Quantum technologies with hybrid systems
- Non-local propagation of correlations in long-range interacting quantum systems
- Squeezing and entanglement in a Bose-Einstein condensate
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
- Strong Coupling of a Spin Ensemble to a Superconducting Resonator
- Phase space representation of quantum dynamics
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
- The iTEBD algorithm beyond unitary evolution
- High cooperativity coupling of electron-spin ensembles to superconducting cavities
- Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
- Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
- High-Fidelity Entanglement and Detection of Alkaline-Earth Rydberg Atoms
- Observation of Entangled States of a Fully Controlled 20-Qubit System
- Cavity QED with magnetically coupled collective spin states
- States of an Ensemble of Two-Level Atoms with Reduced Quantum Uncertainty
- Entanglement-Enhanced Optical Atomic Clock
- Non-equilibrium quantum magnetism in a dipolar lattice gas
- Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
- Deterministic Squeezed States with Joint Measurements and Feedback
- Anisotropic rare-earth spin ensemble strongly coupled to a superconducting resonator
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
- Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
- Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
- Superradiant Hybrid Quantum Devices
- Time Dependent Variational Principle with Ancillary Krylov Subspace
- Suppressing and restoring the Dicke superradiance transition by dephasing and decay
- A simple tensor network algorithm for two-dimensional steady states
- A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays
- A long-lived spin-orbit-coupled degenerate dipolar Fermi gas
- Non-equilibrium dynamics of Ising models with decoherence: an exact solution
- Spin squeezing with short-range spin-exchange interactions
- Collective processes of an ensemble of spin-1/2 particles
- Exploring out-of-equilibrium quantum magnetism and thermalization in a spin-3 many-body dipolar lattice system
- Simulating open quantum systems by applying SU(4) to quantum master equations
- Cluster Truncated Wigner Approximation in Strongly Interacting Systems
- Improving cold-atom sensors with quantum entanglement: Prospects and challenges
- Controlling Dipolar Exchange Interactions in a Dense 3D Array of Large Spin Fermions
- A generalized phase space approach for solving quantum spin dynamics
- Rugged mHz-Linewidth Superradiant Laser Driven by a Hot Atomic Beam
- Nonequilibrium dynamics of spin-boson models from phase space methods
- Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation
- Non-equilibrium magnetic phases in spin lattices with gain and loss
- Monte-Carlo Simulations of Superradiant Lasing
- Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench
- Phase-Space Methods for Simulating the Dissipative Many-Body Dynamics of Collective Spin Systems
- Subradiant-to-Subradiant Phase Transition in the Bad Cavity Laser
- Driven-dissipative criticality within the discrete truncated Wigner approximation
- Analysis of continuous and discrete Wigner approximations for spin dynamics
- On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
- Quenches near criticality of the quantum Ising chain---power and limitations of the discrete truncated Wigner approximation
- Regular and bistable steady-state superradiant phases of an atomic beam traversing an optical cavity
- Multi-time correlations in the positive-P, Q, and doubled phase-space representations
Cited by in corpus (23)
- Quantum-enhanced sensing on an optical transition via emergent collective quantum correlations
- Driven-dissipative criticality within the discrete truncated Wigner approximation
- Hybrid discrete-continuous truncated Wigner approximation for driven, dissipative spin systems
- Collective Radiative Interactions in the Discrete Truncated Wigner Approximation
- Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
- Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
- Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
- User-friendly TWA for dissipative spin dynamics
- Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
- Unraveling superradiance: Entanglement and mutual information in collective decay
- Effects of retardation on many-body superradiance in chiral waveguide QED
- Integrability, multifractality, and two-photon dynamics in disordered Tavis-Cummings models
- Crossover from the discontinuous to continuous phase transitions in dissipative spin system with collective decay
- Open quantum dynamics with variational non-Gaussian states and the truncated Wigner approximation
- Symmetry based efficient simulation of dissipative quantum many-body dynamics in subwavelength quantum emitter arrays
- Learning quantum dissipation by the neural ordinary differential equation
- Genuine Quantum effects in Dicke-type Models at large atom numbers
- Tensor-network-based variational Monte Carlo approach to the non-equilibrium steady state of open quantum systems
- Discrete-phase-space method for driven-dissipative dynamics of strongly interacting bosons in optical lattices
- Phase-Space Methods for Many-Body Quantum Optics
- Magnon Nesting in Driven Two-Dimensional Quantum Magnets
- Controlled bit-flip of period-doubling and discrete time crystalline states in open systems
- Path-Integral Formulation of Bosonic Markovian Open Quantum Dynamics with Monte Carlo stochastic trajectories using the Glauber-Sudarshan P, Wigner, and Husimi Q Functions and Hybrids