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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Quantum Dynamics in Noisy Backgrounds: from Sampling to Dissipation and Fluctuations

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Oliveira, O. [1, 2] ; de Paula, W. [2] ; Frederico, T. [2] ; Hussein, M. S. [2, 3, 4]
Total Authors: 4
[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

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