Decoherence-induced geometric phase in a multilevel atomic system

Abstract

We consider the STIRAP process in a three-level atom. Viewed as a closed system, no geometric phase is acquired. But in the presence of spontaneous emission and/or collisional relaxation we show numerically that a non-vanishing, purely real, geometric phase is acquired during STIRAP, whose magnitude grows with the decay rates. Rather than viewing this decoherence-induced geometric phase as a nuisance, it can be considered an example of "beneficial decoherence": the environment provides a mechanism for the generation of geometric phases which would otherwise require an extra experimental control knob.

9 pages, 12 figures

References in corpus (19)

• Kinematic approach to the mixed state geometric phase in nonunitary evolution
• Adiabatic approximation in open quantum systems
• Geometric quantum gates robust against stochastic control errors
• Holonomic quantum computation in decoherence-free subspaces
• Robustness of non-abelian holonomic quantum gates against parametric noise
• Geometric nature of the environment-induced Berry phase and geometric dephasing
• Geometric phases in open systems: an exact model to study how they are corrected by decoherence
• Abelian and non-Abelian geometric phases in adiabatic open quantum systems
• Geometric phase distributions for open quantum systems
• Holonomic quantum computation in the presence of decoherence
• Robust gates for holonomic quantum computation
• Geometric phase induced by a cyclically evolving squeezed vacuum reservoir
• Geometric phase for open quantum systems and stochastic unravellings
• Geometric phase in open systems: beyond the Markov approximation and weak coupling limit
• Coherent evolution via reservoir driven holonomy
• Geometric phase in dephasing systems
• A General Setting for Geometric Phase of Mixed States Under an Arbitrary Nonunitary Evolution
• Geometric phase for an adiabatically evolving open quantum system
• Robustness of optimal working points for non-adiabatic holonomic quantum computation

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• A view on the open STIRAP problem
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• Suppression of non-adiabatic phases by a non-Markovian environment: easier observation of Berry phases
• Impacts of Intrinsic Noise and Quantum Entanglement on the Geometric and Dynamical Properties of the XXZ Heisenberg Interacting Spin Model
• Geometric and holonomic quantum computation