| Full text | |
| Author(s): |
Total Authors: 4
|
| Affiliation: | [1] Univ Coimbra, Dept Phys, CFisUC, P-3004516 Coimbra - Portugal
[2] DCTA, Inst Tecnol Aeronaut, BR-12228900 Sao Jose Dos Campos - Brazil
[3] Univ Sao Paulo, Inst Fis, Caixa Postal 66318, BR-05314970 Sao Paulo, SP - Brazil
[4] Univ Sao Paulo, Inst Estudos Avancados, Caixa Postal 66318, BR-05314970 Sao Paulo - Brazil
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | Brazilian Journal of Physics; v. 46, n. 4, p. 384-392, AUG 2016. |
| Web of Science Citations: | 1 |
| 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. (AU) | |
| FAPESP's process: | 14/08388-0 - Non-perturbative dynamics in relativistic quantum field theory applied to graphene and to quantum chromodynamics |
| Grantee: | Tobias Frederico |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |