Measurement-induced entanglement transition in chaotic quantum Ising chain
arXiv:2407.08703 · doi:10.1103/PhysRevB.110.134316
Abstract
We numerically investigate the robustness against various perturbations of measurement-induced phase transition in monitored quantum Ising models in the no-click limit, where the dynamics is described by a non-Hermitian Hamiltonian. We study perturbations that break the integrability and/or the symmetry of the model, as well as modifications in the measurement protocol, characterizing the resulting chaos and lack of integrability through the Dissipative Spectral Form Factor (DSFF). We show that while the measurement-induced phase transition and its properties appear to be broadly insensitive to lack of integrability and breaking of the symmetry, a modification of the measurement basis from the transverse to the longitudinal direction makes the phase transition disappear altogether.
References in corpus (41)
- Quantum entanglement
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Entanglement in quantum critical phenomena
- Non-Hermitian Physics
- Quantum metrology with nonclassical states of atomic ensembles
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- An Area Law for One Dimensional Quantum Systems
- Quantum trajectories and open many-body quantum systems
- Quantum entanglement in condensed matter systems
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- A short introduction to the Lindblad Master Equation
- Measurement-driven entanglement transition in hybrid quantum circuits
- A Straightforward Introduction to Continuous Quantum Measurement
- Unitary-projective entanglement dynamics
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
- Scalable probes of measurement-induced criticality
- A simple model of quantum trajectories
- Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
- Quantum Trajectories and Quantum Measurement Theory
- Entanglement phase transitions in measurement-only dynamics
- Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
- 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
- Entanglement and purification transitions in non-Hermitian quantum mechanics
- Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
- Universality classes of non-Hermitian random matrices
- Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
- New wine in old bottles: Quantum measurement - direct, indirect, weak - with some applications
- Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
- Topological transitions with continuously monitored free fermions
- A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
- Controlling entanglement at absorbing state phase transitions in random circuits
- General implementation of all possible positive-operator-value measurements of single photon polarization states
- Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
- Yang-Lee edge singularity triggered entanglement transition
- Spectral Properties of Disordered Interacting Non-Hermitian Systems
- Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition