Measurements on an Anderson Chain
arXiv:2211.06350 · doi:10.1103/PhysRevB.107.174203
Abstract
We study the dynamics of a monitored single particle in a one-dimensional, Anderson-localized system. The time evolution is governed by Hamiltonian dynamics for fixed time intervals, interrupted by local, projective measurements. The competition between disorder-induced localization and measurement-induced jumps leads to interesting behaviour of readout-averaged quantities. We find that measurements at random positions delocalize the average position, similar to a classical random walk. Along each quantum trajectory, the particle remains localized, however with a modified localization length. In contrast to measurement-induced delocalization, controlled measurements can be used to introduce transport in the system and localize the particle at a chosen site. In this sense, the measurements provide a controlled environment for the particle.
arXiv comment14 pages, 10 figures. Comments welcome
References in corpus (29)
- Anderson Transitions
- 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
- Random Quantum Circuits
- Unitary-projective entanglement dynamics
- Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
- Entanglement in a fermion chain under continuous monitoring
- Entanglement transition from variable-strength weak measurements
- Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions
- Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles
- Measurement-induced entanglement transitions in many-body localized systems
- Measurement-induced steering of quantum systems
- Detection of a quantum particle on a lattice under repeated projective measurements
- Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
- Restart expedites quantum walk hitting times
- Noise-induced subdiffusion in strongly localized quantum systems
- 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
- Quantum Zeno effect appears in stages
- Dynamics of measured many-body quantum chaotic systems
- Unbounded entanglement production via a dissipative impurity
- Stirring by Staring: Measurement Induced Chirality
- Entanglement negativity in a fermionic chain with dissipative defects: Exact results
- Measurement induced quantum walks
- Semi-classical theory of quantum stochastic resistors
- Robustness of Aharonov-Bohm cages in quantum walks
Cited by in corpus (15)
- Theory of free fermions under random projective measurements
- Disordered monitored free fermions
- Localization properties in disordered quantum many-body dynamics under continuous measurement
- Entanglement phases, localization and multifractality of monitored free fermions in two dimensions
- Quantum criticality under imperfect teleportation
- Localization, fractality, and ergodicity in a monitored qubit
- Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure
- Unscrambling of single-particle wave functions in systems localized through disorder and monitoring
- Measurement Induced Chirality II: Diffusion and Disorder
- Multifractality in monitored single-particle dynamics
- Measurement-induced phase transitions for free fermions in a quasiperiodic potential
- Effect of the readout efficiency of quantum measurement on the system entanglement
- Enhanced localization in the prethermal regime of continuously measured many-body localized systems
- Motion from Measurement: The Role of Symmetry of Quantum Measurements
- Fractionally Quantized Recurrence Detection Times in Monitored Quantum Many-Body Systems