Semiclassical Quantum Trajectories in the Monitored Lipkin-Meshkov-Glick Model
arXiv:2407.20314 · doi:10.1103/PhysRevB.111.134305
Abstract
Monitored quantum system have sparked great interest in recent years due to the possibility of observing measurement-induced phase transitions (MIPTs) in the full-counting statistics of the quantum trajectories associated with different measurement outcomes. Here, we investigate the dynamics of the Lipkin-Meshkov-Glick model, composed of all-to-all interacting spins , under a weak external monitoring. We derive a set of semiclassical stochastic equations describing the evolution of the expectation values of global spin observables, which become exact in the thermodynamic limit. Our results shows that the limit does not commute with the long-time limit: while for any finite the esamble average over the noise is expected to converge towards a trivial steady state, in the thermodynamic limit a MIPT appears. The transition is not affected by post-selection issues, as it is already visible at the level of ensemble averages, thus paving the way for experimental observations. We derive a quantitative theoretical picture explaining the nature of the transition within our semiclassical picture, finding an excellent agreement with the numerics.
References in corpus (65)
- Quantum information with Rydberg atoms
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
- Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Measurement-driven entanglement transition in hybrid quantum circuits
- A Straightforward Introduction to Continuous Quantum Measurement
- Quantum Darwinism
- Unitary-projective entanglement dynamics
- Quantum phases from competing short- and long-range interactions in an optical lattice
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Dynamical purification phase transitions induced by quantum measurements
- Critical properties of the measurement-induced transition in random quantum circuits
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
- Entanglement in a fermion chain under continuous monitoring
- Long-range interacting quantum systems
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Measurement-induced quantum criticality under continuous monitoring
- Entanglement entropy in the Lipkin-Meshkov-Glick model
- Scrambling and entanglement spreading in long-range spin chains
- Unravelling the large deviation statistics of Markovian open quantum systems
- Measurement-induced dark state phase transitions in long-ranged fermion systems
- Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles
- Entanglement and purification transitions in non-Hermitian quantum mechanics
- Fate of measurement-induced phase transition in long-range interactions
- Growth of entanglement entropy under local projective measurements
- Diverging equilibration times in long-range quantum spin models
- Theory of free fermions under random projective measurements
- Floquet time crystals in clock models
- Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
- Observing quantum state diffusion by heterodyne detection of fluorescence
- A non-equilibrium superradiant phase transition in free space
- Topological transitions with continuously monitored free fermions
- Higher-order and fractional discrete time crystals in clean long-range interacting systems
- Chaotic dynamical ferromagnetic phase induced by non-equilibrium quantum fluctuations
- Measurement-induced phase transition for free fermions above one dimension
- On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
- Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Metastability and discrete spectrum of long-range systems
- Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain
- Quantum Zeno effect appears in stages
- Purification Timescales in Monitored Fermions
- Symmetry-breaking dynamics of the finite-size Lipkin-Meshkov-Glick model near ground state
- Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
- Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
- Measurement-induced transitions beyond Gaussianity: a single particle description
- Entanglement transitions and quantum bifurcations under continuous long-range monitoring
- Floquet time crystals in driven spin systems with all-to-all -body interactions
- Measurement induced transitions in non-Markovian free fermion ladders
- Density and current statistics in boundary-driven monitored fermionic chains
- Quantum Zeno effect with partial measurement and noisy dynamics
- Fractal nature of high-order time crystal phases
- The impact of different unravelings in a monitored system of free fermions
- A Dyson Brownian motion model for weak measurements in chaotic quantum systems
- Thermalization of a Lipkin-Meshkov-Glick model coupled to a bosonic bath
- Entanglement propagation and dynamics in non-additive quantum systems
- Thermalization of the Lipkin-Meshkov-Glick model in blackbody radiation