Geometric phase and sidebands

DOI10.1007/s10773-010-0558-0zbMath1209.81126OpenAlexW2038972726MaRDI QIDQ630160

Juan-Miguel Gracia

Publication date: 17 March 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0558-0

zbMATH Keywords

geometric phasemodified Bloch equationsideband

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of solids (82D20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (9)

Pancharatnam phase and quantum correlation for two-qubit system in correlated dephasing environment ⋮ Quantum entanglement and spin squeezing of two species Bose-Einstein condensates ⋮ Entanglement for two dissipative qubits ⋮ Geometric phase of two-level mixed state and Bloch sphere structure ⋮ Observable Berry phase for charge qubit in a dissipative environment ⋮ Nonadiabatic geometric phases induced by master equation in open quantum system ⋮ Geometric phase of time-dependent superconducting qubit ⋮ Geometric phase of two-qubit system with dissipative effects ⋮ Quantum Fisher information and phase sensitivity in various initial states

Cites Work

• Geometric phase induced by quantum nonlocality
• Overcoming decoherent effects from squeezed vacuum reservoir
• Geometric phase in fluctuating magnetic field
• Quantum tunneling via quantum geometric phase
• Parallel transport and ``quantum holonomy along density operators
• On the generators of quantum dynamical semigroups
• Quantum kinematic approach to the geometric phase. I: General formalism
• Berry's phase in the presence of a dissipative medium
• Controlling decoherence from fluctuating magnetic field
• Geometric Phase in Open Systems
• Berry Phase in a Nonisolated System
• Dynamical symmetry and geometric phase
• Quantal phase factors accompanying adiabatic changes
• Quantum optical implementation of Grover's algorithm
• Quantum information and computation

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