Geometric phase of a two-level system in a dissipative environment
arXiv:0805.0645 · doi:10.1103/PhysRevA.79.052107
Abstract
The geometric (Berry) phase of a two-level system in a dissipative environment is analyzed by using the second-quantized formulation, which provides a unified and gauge-invariant treatment of adiabatic and nonadiabatic phases and is thus applicable to a quantitative analysis of transitional regions away from ideal adiabaticity. In view of the recent experimental observation of the Berry phase in a superconducting qubit, we illustrate our formulation for a concrete adiabatic case in the Ohmic dissipation. The correction to the total phase together with the geometry-dependent dephasing time is given in a transparent way. The behavior of the geometric phase away from ideal adiabaticity is also analyzed in some detail.
7 pages, 3 figures
References in corpus (22)
- Quantum state engineering with Josephson-junction devices
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
- Manipulating the Quantum State of an Electrical Circuit
- Coupling Superconducting Qubits via a Cavity Bus
- Holonomic Quantum Computation
- Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
- Observation of Berry's Phase in a Solid State Qubit
- Geometric phase in open systems
- Berry phase for a spin 1/2 in a classical fluctuating field
- Geometric phases for non-degenerate and degenerate mixed states
- Experimental determination of the Berry phase in a superconducting charge pump
- Geometric nature of the environment-induced Berry phase and geometric dephasing
- Berry phase in a non-isolated system
- Geometric phases in open systems: an exact model to study how they are corrected by decoherence
- Geometric phase distributions for open quantum systems
- Effect of noise on geometric logic gates for quantum computation
- Second quantized formulation of geometric phases
- Geometric phases and hidden local gauge symmetry
- Geometric phases for mixed states and decoherence
- Fluctuation-dissipation theorem and quantum tunneling with dissipation
- Adiabatic approximation in the second quantized formulation