Abstract

All-creation and all-annihilation time-dependent PT -symmetric bosonic Hamiltonians: an infinite squeezing degree at a finite time.
PONTE, M. A.; LUIZ, Fabrício de Souza; DUARTE, Oscar Salomón; MOUSSA, Miled Hassan Youssef.
Abstract: Here we introduce the all-creation and all-annihilation time-dependent (TD) PT -symmetric bosonic Hamiltonians, which in the interaction picture are described only by creation or annihilation operators. These Hamiltonians are defined from the most general TD PT -symmetric quadratic bosonic Hamiltonian, describing a cavity mode under linear and parametric amplifications. After presenting a general ansatz for the derivation of the TD Dyson map and metric operators, we solve the Schrödinger equations for both the PT -symmetric Hamiltonian and its Hermitian counterpart.We then compute analytically the squeezing degree coming from the all-annihilation Hamiltonian and compare the result with that coming from an ordinary Hermitian Hamiltonian, showing a crucial result for interferometric procedures: instead of the asymptotic divergence of the squeezing degree that takes place for a Hermitian parametric pumping, the all-annihilation amplification leads to a divergence of that quantity at a finite controllable time.
Physical Review A
v. 100, n. 1, p. 012128-1-012128-11 - Ano: 2019
Fator de Impacto: 2,907
http://dx.doi.org/10.1103/PhysRevA.100.012128
    @article={002955385,author = {PONTE, M. A.; LUIZ, Fabrício de Souza; DUARTE, Oscar Salomón; MOUSSA, Miled Hassan Youssef.},title={All-creation and all-annihilation time-dependent PT -symmetric bosonic Hamiltonians: an infinite squeezing degree at a finite time},journal={Physical Review A},note={v. 100, n. 1, p. 012128-1-012128-11},year={2019}}

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