Berry phase from a quantum Zeno effect

Abstract

We exhibit a specific implementation of the creation of geometrical phase through the state-space evolution generated by the dynamic quantum Zeno effect. That is, a system is guided through a closed loop in Hilbert space by means a sequence of closely spaced projections leading to a phase difference with respect to the original state. Our goal is the proposal of a specific experimental setup in which this phase could be created and observed. To this end we study the case of neutron spin, examine the practical aspects of realizing the "projections," and estimate the difference between the idealized projections and the experimental implementation.

13 pages, 2 figures

Cited by in corpus (27)

• Quantum Zeno dynamics: mathematical and physical aspects
• Purification through Zeno-like Measurements
• Optimal polynomial based quantum eigenstate filtering with application to solving quantum linear systems
• Preparation and Entanglement Purification of Qubits through Zeno-like Measurements
• Quantum Zeno effect appears in stages
• A Quantum Anti-Zeno Paradox
• Coherent evolution via reservoir driven holonomy
• Topological transition in measurement-induced geometric phases
• Bateman's dual system revisited: I. Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator
• Observing a Topological Transition in Weak-Measurement-Induced Geometric Phases
• Weak-measurement-induced asymmetric dephasing: manifestation of intrinsic measurement chirality
• Non-Abelian Phases from a Quantum Zeno Dynamics
• Weak-measurement-induced phases and dephasing: broken symmetry of the geometric phase
• Optimization of a Neutron-Spin Test of the Quantum Zeno Effect
• Measuring geometric phases with a dynamical quantum Zeno effect in a Bose-Einstein condensate
• Interplay between geometric and dynamic phases in a single spin system
• Generalized Product Formulas and Quantum Control
• Large-time limit of the quantum Zeno effect
• Photon Polarization Measurements without the Quantum Zeno Effect
• Experimentally testable geometric phase of sequences of Everett's relative quantum states
• Purification of Quantum State through Zeno-like Measurements
• Kick and fix: the roots of quantum control
• Phase transitions in a one-dimensional multibarrier potential of finite range
• Quantum field theory and dense measurement
• Lax-Phillips evolution as an evolution of Gell-Mann-Hartle-Griffiths histories and emergence of the Schröedinger equation for a stable history
• Creating nonlocality using geometric phases between partially distinguishable photons
• The effects of related experiments