Qubit Decoherence and Non-Markovian Dynamics at Low Temperatures via an Effective Spin-Boson Model
arXiv:quant-ph/0405147 · doi:10.1103/PhysRevA.70.062106
Abstract
Quantum Brownian oscillator model (QBM), in the Fock-space representation, can be viewed as a multi-level spin-boson model. At sufficiently low temperature, the oscillator degrees of freedom are dynamically reduced to the lowest two levels and the system behaves effectively as a two-level (E2L) spin-boson model (SBM) in this limit. We discuss the physical mechanism of level reduction and analyze the behavior of E2L-SBM from the QBM solutions. The availability of close solutions for the QBM enables us to study the non-Markovian features of decoherence and leakage in a SBM in the non-perturbative regime (e.g. without invoking the Born approximation) in better details than before. Our result captures very well the characteristic non-Markovian short time low temperature behavior common in many models.
19 pages, 8 figures
References in corpus (19)
- Quantum state engineering with Josephson-junction devices
- Manipulating the Quantum State of an Electrical Circuit
- Coherent Quantum Dynamics of a Superconducting Flux Qubit
- Quantum Computers and Dissipation
- Maintaining coherence in Quantum Computers
- Charge echo in a Cooper-pair box
- Multi-level quantum description of decoherence in superconducting qubits
- Quantum State Diffusion, Density Matrix Diagonalization and Decoherent Histories: A Model
- Decoherence and Initial Correlations in Quantum Brownian Motion
- Dynamical Decoupling Using Slow Pulses: Efficient Suppression of 1/f Noise
- Generalized Uncertainty Relations and Long Time Limits for Quantum Brownian Motion Models
- Resonant cancellation of off-resonant effects in a multilevel qubit
- Phase-Space Decoherence: a comparison between Consistent Histories and Environment Induced Superselection
- Self-consistent non-Markovian theory of a quantum state evolution for quantum information processing
- Uncertainty Relation at Finite Temperature
- Squeezed States and Uncertainty Relation at Finite Temperature
- Uncertainty Relation for a Quantum Open System
- Emergence of Quantum-Classical Dynamics in an Open Quantum Environment
- Exact Born Approximation for the Spin-Boson Model
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