Measurement Induced Chirality II: Diffusion and Disorder
arXiv:2306.11150 · doi:10.1103/PhysRevB.108.214305
Abstract
Repeated quantum measurements can generate effective new non-equilibrium dynamics in matter. Here we combine such a measurement driven system with disorder. In particular, we investigate the diffusive behavior in the system and the effect of various types of disorder on the measurement induced chiral transport protocol [1]. We begin by characterizing the diffusive behavior produced by the measurements themselves in a clean system. We then examine the edge flow of particles per measurement cycle for three different types of disorder: site dilution, lattice distortion, and disorder in onsite chemical potential. In the quantum Zeno limit, the effective descriptions for the disordered measurement system with lattice distortions and random onsite potential can be modelled as a classical stochastic model, and the overall effect of increasing these disorders induces a crossover from perfect flow to zero transport. On the other hand if vacancies are present in the lattice the flow of particles per measurement cycle undergoes a percolation phase transition from unity to zero with percolation threshold , with critical exponent . We also present numerical results away from Zeno limit and note that the overall effect of moving away from the Zeno effect is to reduce particle flow per cycle when the measurement frequency in our protocol is reduced.
arXiv commentAn extension to the previous work https://journals.aps.org/prx/abstract/10.1103/PhysRevX.12.031031 and the updated version includes more extensive introductions
References in corpus (44)
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Light-induced anomalous Hall effect in graphene
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Measurement-induced criticality in random quantum circuits
- Random Quantum Circuits
- Unitary-projective entanglement dynamics
- Critical properties of the measurement-induced transition in random quantum circuits
- Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
- Deterministic entanglement of superconducting qubits by parity measurement and feedback
- Realization of an anomalous Floquet topological system with ultracold atoms
- Entanglement in a fermion chain under continuous monitoring
- Entanglement transition from variable-strength weak measurements
- Disorder-induced Floquet Topological Insulators
- Entanglement phase transitions in measurement-only dynamics
- Measurement-induced criticality in (2+1)-d hybrid quantum circuits
- Entanglement and charge-sharpening transitions in U(1) symmetric monitored quantum circuits
- Fate of measurement-induced phase transition in long-range interactions
- Chiral Floquet Phases of Many-body Localized Bosons
- Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
- Emergent conformal symmetry in non-unitary random dynamics of free fermions
- Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
- Spacetime duality between localization transitions and measurement-induced transitions
- Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
- Topological transitions with continuously monitored free fermions
- Measurement-induced steering of quantum systems
- How Dynamical Quantum Memories Forget
- Anomalous Floquet Insulators
- Measurements conspire nonlocally to restructure critical quantum states
- Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
- Floquet dynamics in light-driven solids
- Disordered monitored free fermions
- Entanglement transitions with free fermions
- Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
- Continuous Gaussian Measurements of the Free Boson CFT: A model for Exactly Solvable and Detectable Measurement-Induced Dynamics
- Quantized large-bias current in the anomalous Floquet-Anderson insulator
- Keldysh Nonlinear Sigma Model for a Free-Fermion Gas under Continuous Measurements
- Measurements on an Anderson Chain
- Measurement induced quantum walks on an IBM Quantum Computer
- Stirring by Staring: Measurement Induced Chirality
- Measurement induced quantum walks
- Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
- Feedback cooled Bose-Einstein condensation: near and far from equilibrium
- Quantum wakes in lattice fermions