Geometric phase distributions for open quantum systems

Abstract

In an open system, the geometric phase should be described by a distribution. We show that a geometric phase distribution for open system dynamics is in general ambiguous, but the imposition of reasonable physical constraints on the environment and its coupling with the system yields a unique geometric phase distribution that applies even for mixed states, non-unitary dynamics, and non-cyclic evolutions.

Some minor revisions, references updated

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• Reply to "comment on Geometric phases for mixed states during cyclic evolutions"

Cited by in corpus (36)

• Geometry of quantum phase transitions
• Geometric phases in quantum information
• Abelian and non-Abelian geometric phases in adiabatic open quantum systems
• Robust gates for holonomic quantum computation
• Geometric phase for an accelerated two-level atom and the Unruh effect
• Geometric Phase of a qubit interacting with a squeezed-thermal bath
• Geometric phase for open quantum systems and stochastic unravellings
• Geometric phase in open systems: beyond the Markov approximation and weak coupling limit
• Non-Markovian effect on the geometric phase of a dissipative qubit
• Geometric phases induced in auxiliary qubits by many-body systems near its critical points
• Geometric phase in dephasing systems
• Geometric magnetism in open quantum systems
• Temperature effects on mixed state geometric phase
• Dynamical invariants and nonadiabatic geometric phases in open quantum systems
• Geometric phase of a quantum dot system in nonunitary evolution
• Geometric phases under the presence of a composite environment
• Spin bath interactions effects on the geometric phase
• Geometric phase outside a Schwarzschild black hole and the Hawking effect
• Dynamic process and Uhlmann process: Incompatibility and dynamic phase of mixed quantum states
• Decoherence-induced geometric phase in a multilevel atomic system
• Geometric phase of a two-level system in a dissipative environment
• Entanglement dynamics via geometric phases in quantum spin chains
• On geometric phases for quantum trajectories
• Detecting modified vacuum fluctuations due to presence of a boundary by means of the geometric phase
• A general treatment of geometric phases and dynamical invariants
• Dissipative and stochastic geometric phase of a qubit within a canonical Langevin framework
• Quantum trajectory approach to the geometric phase: open bipartite systems
• Separable states and the geometric phases of an interacting two-spin system
• Geometric Phase: a Diagnostic Tool for Entanglement
• Entanglement-induced geometric phase of quantum states
• Hidden parameters in open-system evolution unveiled by geometric phase
• Holonomy for Quantum Channels
• Polarimetric measurements of single-photon geometric phases
• Entanglement Effect on Off-diagonal Geometric Phase
• Witnessing entanglement via the geometric phase in a impurity-doped Bose-Einstein condensate
• Geometric and holonomic quantum computation