Decoherence and the ultraviolet cutoff: non-Markovian dynamics of a charged particle in a magnetic field
arXiv:2301.06365 · doi:10.1088/1751-8121/acd231
Abstract
We derive a non-Markovian master equation for a charged particle in a magnetic field coupled to a bath and study decoherence by analysing the temporal decay of the off-diagonal elements of the reduced density matrix in the position basis. The coherent oscillations characterised by the cyclotron frequency get suppressed as a result of decoherence due to coupling with the environment. We consider an Ohmic bath with three distinct models for the high-frequency cutoff for the spectral density of the bath and compare the three cases. As expected, the three cutoff models converge in the limit of the uppermost frequency of the bath tending to infinity. We notice a dramatic slowing down of loss of coherence in the low-temperature limit dominated by zero point quantum fluctuations compared to the high-temperature classical limit dominated by thermal fluctuations. We also go beyond the Ohmic model and study super-Ohmic and sub-Ohmic baths with the spectral densities deviating from a linear dependence on the frequency. Our results are testable in a state of the art cold atom laboratory.
arXiv comment21 pages, 4 figures
References in corpus (28)
- Spins in few-electron quantum dots
- Quantum state engineering with Josephson-junction devices
- Resolving photon number states in a superconducting circuit
- Quantum Decoherence
- Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
- Decoherence from spin environments
- Gaussian Decoherence from Random Spin Environments
- The quantum to classical transition for random walks
- Noise and decoherence in quantum two-level systems
- Decoherence and Quantum Fluctuations
- Control of decoherence in the generation of photon pairs from atomic ensembles
- Direct Measurement of the System-Environment Coupling as a Tool For Understanding Decoherence and Dynamical Decoupling
- Density matrix operatorial solution of the non--Markovian Master Equation for Quantum Brownian Motion
- Non-Markovian Dynamics Impact on the Foundations of Statistical Mechanics
- Nonexponential quantum decay under environmental decoherence
- Signatures of a Noise-Induced Quantum Phase Transition in a Mesoscopic Metal Ring
- Decoherence and dissipation of a quantum harmonic oscillator coupled to two-level systems
- Decoherence induced by zero point fluctuations in quantum Brownian motion
- Environment-dependent dissipation in quantum Brownian motion
- Non-exponential decoherence and subdiffusion in atom-optics kicked rotor
- Adjoint master equation for Quantum Brownian Motion
- Momentum coupling in non-Markovian Quantum Brownian motion
- Notes on Decoherence at Absolute Zero
- Decoherence at absolute zero
- Real-time detection of Rydberg state dynamics of cold atoms using an optical cavity
- Decoherence at zero temperature
- Instantaneous and dynamical decoherence
- Control of quantum thermodynamic behaviour of a charged magneto oscillator with momentum dissipation