Fate of measurement-induced phase transition in long-range interactions

Abstract

We consider quantum many-body dynamics under quantum measurements, where the measurement-induced phase transitions (MIPs) occur when changing the frequency of the measurement. In this work, we consider the robustness of the MIP for long-range interaction that decays as $r^{-\alpha }$ with distance $r$. The effects of long-range interactions are classified into two regimes: (i) the MIP is observed $(\alpha >{\alpha }_c)$, and (ii) the MIP is absent even for arbitrarily strong measurements $(\alpha <{\alpha }_c)$. Using fermion models, we demonstrate both regimes in integrable and non-integrable cases. We identify the underlying mechanism and propose sufficient conditions to observe the MIP, that is, $\alpha >d/2+1$ for general bilinear systems and $\alpha >d+1$ for general non-integrable systems ($d$: spatial dimension). Numerical calculation indicates that these conditions are optimal.

arXiv comment7+6 pages, 9 figures

References in corpus (55)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Area laws for the entanglement entropy - a review
• Quantum information with Rydberg atoms
• Probing many-body dynamics on a 51-atom quantum simulator
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Realizing a lattice spin model with polar molecules
• Time-dependent variational principle for quantum lattices
• Bose-Einstein Condensation of Erbium
• 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
• Theory of the phase transition in random unitary circuits with measurements
• Measurement-induced criticality in random quantum circuits
• Unitary-projective entanglement dynamics
• Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
• Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
• Dynamical purification phase transitions induced by quantum measurements
• Many-body interferometry of a Rydberg-dressed spin lattice
• Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
• Scalable probes of measurement-induced criticality
• Entanglement transition from variable-strength weak measurements
• Entanglement entropy for the long range Ising chain
• Entanglement phase transitions in measurement-only dynamics
• Coherent many-body spin dynamics in a long-range interacting Ising chain
• Measurement-induced topological entanglement transitions in symmetric random quantum circuits
• Kitaev chains with long-range pairing
• Post-Matrix Product State Methods: To tangent space and beyond
• Measurement Protected Quantum Phases
• Measurement-induced quantum criticality under continuous monitoring
• Self-Organized Error Correction in Random Unitary Circuits with Measurement
• Measurement-induced criticality in (2+1)-d hybrid quantum circuits
• Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
• Measurement-induced dark state phase transitions in long-ranged fermion systems
• Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
• Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
• Entanglement Transition in the Projective Transverse Field Ising Model
• Time Dependent Variational Principle with Ancillary Krylov Subspace
• On the capacities of bipartite Hamiltonians and unitary gates
• Finite speed of quantum scrambling with long range interactions
• Strictly linear light cones in long-range interacting systems of arbitrary dimensions
• Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation
• Entanglement rates and area laws
• Many body localization with long range interactions
• Hierarchy of linear light cones with long-range interactions
• How Dynamical Quantum Memories Forget
• Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model
• Upper bounds on entangling rates of bipartite Hamiltonians
• Absence of fast scrambling in thermodynamically stable long-range interacting systems
• The operator Lévy flight: light cones in chaotic long-range interacting systems
• Area law of non-critical ground states in 1D long-range interacting systems
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• Energy current correlation in solvable long-range interacting systems
• Termination of the Berezinskii-Kosterlitz-Thouless phase with a new critical universality in spin-crossover systems

Cited by in corpus (104)

• Long-range interacting quantum systems
• Measurement-induced dark state phase transitions in long-ranged fermion systems
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Growth of entanglement entropy under local projective measurements
• Universal behavior beyond multifractality of wave-functions at measurement--induced phase transitions
• Topological transitions with continuously monitored free fermions
• The quantum Ising chain for beginners
• Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
• Controlling entanglement at absorbing state phase transitions in random circuits
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Disordered monitored free fermions
• Measurement-induced criticality as a data-structure transition
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
• Dynamics of measured many-body quantum chaotic systems
• Charge fluctuation and charge-resolved entanglement in a monitored quantum circuit with $U(1)$ symmetry
• Purification Timescales in Monitored Fermions
• Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
• Localization properties in disordered quantum many-body dynamics under continuous measurement
• Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
• Neural-Network Decoders for Measurement Induced Phase Transitions
• Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
• Entanglement phases, localization and multifractality of monitored free fermions in two dimensions
• Sequential measurements for quantum-enhanced magnetometry in spin chain probes
• Transport and entanglement growth in long-range random Clifford circuits
• Universal KPZ scaling in noisy hybrid quantum circuits
• Entanglement transitions and quantum bifurcations under continuous long-range monitoring
• Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
• Criticality of quantum energy teleportation at phase transition points in quantum field theory
• Measurement-induced phase transitions in sparse nonlocal scramblers
• Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
• Noise-induced phase transitions in hybrid quantum circuits
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• Interactions and integrability in weakly monitored Hamiltonian systems
• Evolution of many-body systems under ancilla quantum measurements
• Entanglement dynamics with string measurement operators
• Measurement induced transitions in non-Markovian free fermion ladders
• Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
• Absence of measurement-induced entanglement transition due to feedback-induced skin effect
• Measurement-induced symmetry restoration and quantum Mpemba effect
• Entanglement Phases in large-N hybrid Brownian circuits with long-range couplings
• System-environment entanglement phase transitions
• Metrology and multipartite entanglement in measurement-induced phase transition
• Dynamical Transition due to Feedback-induced Skin Effect
• Macroscopic effects of localised measurements in jammed states of quantum spin chains
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain
• Scaling laws for non-Hermitian skin effect with long-range couplings
• Measurement-Induced Quantum Synchronization and Multiplexing
• Symmetry Breaking Dynamics in Quantum Many-Body Systems
• The impact of different unravelings in a monitored system of free fermions
• Measurement-induced phase transition in teleportation and wormholes
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Theory of non-Hermitian fermionic superfluidity on a honeycomb lattice: Interplay between exceptional manifolds and van Hove Singularity
• Monitored long-range interacting systems: spin-wave theory for quantum trajectories
• A Dyson Brownian motion model for weak measurements in chaotic quantum systems
• Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
• Nonstabilizerness of a Boundary Time Crystal
• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
• Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
• Unscrambling of single-particle wave functions in systems localized through disorder and monitoring
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Impact of dephasing on non-equilibrium steady-state transport in fermionic chains with long-range hopping
• Thermal Area Law in Long-Range Interacting Systems
• Heat transport through a two-level system under continuous quantum measurement
• Measurement-Induced Spectral Transition
• Quantum complexity phase transitions in monitored random circuits
• Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
• Breakdown of Measurement-Induced Phase Transitions Under Information Loss
• The Measurement-induced Transition in Long-range Interacting Quantum Circuits
• Heat flow from a measurement apparatus monitoring a dissipative qubit
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Measurement-induced phase transition in free bosons
• Quantum Transports in Two-Dimensions with Long Range Hopping: Shielding, Localization and the Extended Isolated State
• Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
• Measurement-induced phase transitions in systems with diffusive dynamics
• Measurement Induced Chirality II: Diffusion and Disorder
• Measurement-induced phase transitions for free fermions in a quasiperiodic potential
• Subsystem symmetry, spin glass order, and criticality from random measurements in a two-dimensional Bacon-Shor circuit
• Semiclassical Quantum Trajectories in the Monitored Lipkin-Meshkov-Glick Model
• Entanglement dynamics of monitored noninteracting fermions on graphics processing units
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Scrambling Transition in Free Fermion Systems Induced by a Single Impurity
• Rényi entanglement entropy after a quantum quench starting from insulating states in a free boson system
• Concomitant Entanglement and Control Criticality Driven by Collective Measurements
• Identifying Entanglement Phases with Bipartite Projected Ensembles
• Elusive phase transition in the replica limit of monitored systems
• Entanglement phases and phase transitions in monitored free fermion system due to localizations
• Entanglement behavior and localization properties in monitored fermion systems
• Symmetry and Topology of Monitored Quantum Dynamics
• Transitions of the Lyapunov spectrum and entanglement entropy in monitored quantum dynamics with homogeneous unitary gates
• Quantum conditional mutual information as a probe of measurement-induced entanglement phase transitions
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Non-commutative Index of Measurement-only Entanglement Phase Transition
• Approaching the scaling limit of transport through lattices with dephasing
• Robustness of a state with Ising topological order against local projective measurements
• Lindblad master equations for quantum systems coupled to dissipative bosonic modes
• Noisy Monitored Quantum Circuits
• Disappearance of measurement-induced phase transition in a quantum spin system for large sizes
• Destruction and recovery of the entanglement entropy of a many-body quantum system after a single measurement