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Quantum Dynamics in Noisy Backgrounds: from sampling to dissipation and fluctuations
- Publication Year :
- 2015
-
Abstract
- We investigate the dynamics of a quantum system coupled linearly to Gaussian white noise using functional methods. By performing the integration over the noisy field in the evolution operator, we get an equivalent non-Hermitian Hamiltonian, which evolves the quantum state with a dissipative dynamics. We also show that if the integration over the noisy field is done for the time evolution of the density matrix, a gain contribution from the fluctuations, can be accessed in addition to the loss one from the non-hermitian Hamiltonian dynamics. We illustrate our study by computing analytically the effective non-Hermitian Hamiltonian, which we found to be the complex frequency harmonic oscillator, with a known evolution operator. It leads to space and time localisation, a common feature of noisy quantum systems in general applications.
- Subjects :
- Quantum Physics
Nonlinear Sciences - Chaotic Dynamics
Physics - Atomic Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1512.06456
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s13538-016-0425-4