Topological transition in measurement-induced geometric phases
arXiv:1905.01147 · doi:10.1073/pnas.1911620117
Abstract
The state of a quantum system, adiabatically driven in a cycle, may acquire a measurable phase depending only on the closed trajectory in parameter space. Such geometric phases are ubiquitous, and also underline the physics of robust topological phenomena such as the quantum Hall effect. Equivalently, a geometric phase may be induced through a cyclic sequence of quantum measurements. We show that the application of a sequence of weak measurements renders the closed trajectories, hence the geometric phase, stochastic. We study the concomitant probability distribution and show that, when varying the measurement strength, the mapping between the measurement sequence and the geometric phase undergoes a topological transition. Our finding may impact measurement-induced control and manipulation of quantum states---a promising approach to quantum information processing. It also has repercussions on understanding the foundations of quantum measurement.
arXiv comment9 pages, 6 figures + 3 pages supplemental material, 2 figures
References in corpus (16)
- Non-Abelian Anyons and Topological Quantum Computation
- Berry Phase Effects on Electronic Properties
- Observing single quantum trajectories of a superconducting qubit
- To catch and reverse a quantum jump mid-flight
- Entanglement transition from variable-strength weak measurements
- Mapping the optimal route between two quantum states
- Geometric quantum gates robust against stochastic control errors
- Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
- Prospective study on microscopic potential with Gogny interaction
- Heat and work along individual trajectories of a quantum bit
- Berry phase from a quantum Zeno effect
- Topological transition in measurement-induced geometric phases
- Null Values and Quantum State Discrimination
- Crossover of phase qubit dynamics in presence of negative-result weak measurement
- The von Neumann Model of Measurement in Quantum Mechanics
- Standard and Null Weak Values
Cited by in corpus (27)
- Measurement-induced criticality in (2+1)-d hybrid quantum circuits
- Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
- Universality of entanglement transitions from stroboscopic to continuous measurements
- Measurement-induced steering of quantum systems
- Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
- Quantum Zeno effect appears in stages
- Topological transition in measurement-induced geometric phases
- Criticality of quantum energy teleportation at phase transition points in quantum field theory
- Continuous Measurement Boosted Adiabatic Quantum Thermal Machines
- Observing a Topological Transition in Weak-Measurement-Induced Geometric Phases
- Geometric phases and the Sagnac effect: Foundational aspects and sensing applications
- Driving quantum systems with repeated conditional measurements
- Stirring by Staring: Measurement Induced Chirality
- Weak-measurement-induced asymmetric dephasing: manifestation of intrinsic measurement chirality
- Measurement-Induced Quantum Synchronization and Multiplexing
- Engineering two-qubit mixed states with weak measurements
- Measurement-induced phase transitions in monitored infinite-range interacting systems
- Topological transitions of the generalized Pancharatnam-Berry phase
- Unravelling Metastable Markovian Open Quantum Systems
- Weak-measurement-induced phases and dephasing: broken symmetry of the geometric phase
- Geometric phases along quantum trajectories
- Type of Non-reciprocity in Fiber Sagnac Interferometer Induced by Geometric Phases
- Gauge freedoms in unravelled quantum dynamics: When do different continuous measurements yield identical quantum trajectories?
- Fractionally Quantized Recurrence Detection Times in Monitored Quantum Many-Body Systems
- Creating nonlocality using geometric phases between partially distinguishable photons
- Superoscillating Quantum Control Induced By Sequential Selections
- Weak-valued correlation functions: Insights and precise readout strategies