Entanglement of bosonic systems under monitored evolution
arXiv:2403.06297 · doi:10.1103/PhysRevA.110.022208
Abstract
The evolution of non-interacting bosons in the presence of repeated projective measurements is studied. Following the established approach, this monitored evolution is characterized by the first detected return and the first detected transition probabilities. We show that these quantities are directly related to the entanglement entropy and to the entanglement spectrum of a bipartite system. Calculations with specific values for the number of bosons, the number of measurements and the time step between measurements reveal a sensitive and often strongly fluctuating entanglement entropy. In particular, we demonstrate that in the vicinity of special values for the time steps the evolution of the entanglement entropy is either stationary or performs dynamical switching between two or more stationary values. In the entanglement spectrum, on the other hand, this complex behavior can be associated with level crossings, indicating that the dominant quantum states and their entanglement respond strongly to a change of the system parameters. We discuss briefly the role of time averaging to remove the fluctuations of the entanglement entropy.
13 pages, 8 figures
References in corpus (37)
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Entanglement in quantum critical phenomena
- Many body localization and thermalization in quantum statistical mechanics
- Entropy and Area
- Many-body localization, thermalization, and entanglement
- Entanglement entropy and conformal field theory
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Reduced density matrices and entanglement entropy in free lattice models
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Measurement-driven entanglement transition in hybrid quantum circuits
- Entanglement Properties of the Harmonic Chain
- Solution of a minimal model for many-body quantum chaos
- A criterion for many-body localization-delocalization phase transition
- Many-body quantum chaos: Analytic connection to random matrix theory
- Recurrence for discrete time unitary evolutions
- Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
- Detection of a quantum particle on a lattice under repeated projective measurements
- Quantum walks: the first detected passage time problem
- Quantum recurrence of a subspace and operator-valued Schur functions
- Continuous Gaussian Measurements of the Free Boson CFT: A model for Exactly Solvable and Detectable Measurement-Induced Dynamics
- Fiber transport of spatially entangled photons
- Quantum-classical transition of correlations of two coupled cavities
- Large fluctuations of the first detected quantum return time
- Measures of complexity and entanglement in fermionic many-body systems
- Entanglement entropy, single-particle occupation probabilities, and short-range correlations
- Quantum Renewal Equation for the first detection time of a quantum walk
- Eigenstate entanglement: Crossover from the ground state to volume laws
- Return to origin problem for particle on a one-dimensional lattice with quasi-Zeno dynamics
- Quantum walks: the first detected transition time
- Quantum unitary evolution interspersed with repeated non-unitary interactions at random times: The method of stochastic Liouville equation, and two examples of interactions in the context of a tight-binding chain
- First detection probability in quantum resetting via random projective measurements
- Measurement induced quantum walks on an IBM Quantum Computer
- Quantum random walk and tight-binding model subject to projective measurements at random times
- Tight-binding model subject to conditional resets at random times
- Randomly repeated measurements on quantum systems: Correlations and topological invariants of the quantum evolution
- Entanglement transition through Hilbert-space localization