Gamow vectors formalism applied to the Loschmidt echo
- URL: http://arxiv.org/abs/2009.10928v1
- Date: Wed, 23 Sep 2020 04:32:00 GMT
- Title: Gamow vectors formalism applied to the Loschmidt echo
- Authors: Sebastian Fortin, Manuel Gadella, Federico Holik and Marcelo Losada
- Abstract summary: We use formalism to describe a phenomenon of irreversibility: the Loschmidt echo.
We compare the characteristic decay times of this phenomenon with the decoherence ones.
We conclude that the Loschmidt echo and the decoherence can be considered as two aspects of the same phenomenon.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Gamow vectors have been developed in order to give a mathematical description
for quantum decay phenomena. Mainly, they have been applied to radioactive
phenomena, scattering and to some decoherence models. They play a crucial role
in the description of quantum irreversible processes, and in the formulation of
time asymmetry in quantum mechanics. In this paper, we use this formalism to
describe a well-known phenomenon of irreversibility: the Loschmidt echo. The
standard approach considers that the irreversibility of this phenomenon is the
result of an additional term in the backward Hamiltonian. Here, we use the
non-Hermitian formalism, where the time evolution is non-unitary. Additionally,
we compare the characteristic decay times of this phenomenon with the
decoherence ones. We conclude that the Loschmidt echo and the decoherence can
be considered as two aspects of the same phenomenon, and that there is a
mathematical relationship between their corresponding characteristic times.
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