2020
DOI: 10.4236/jamp.2020.812207
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Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

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Cited by 5 publications
(6 citation statements)
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“…We find that the temporal decay of coherence is fastest for a super Ohmic bath and slowest for a sub Ohmic bath, with an Ohmic bath exhibiting an intermediate rate of suppression of coherence. Again, the rate of decoherence is slower for higher values of the magnetic field, as has been pointed out in previous theoretical and experimental results [37][38][39][40]. These results can be later extended to non-commutative space in two dimensions and other anomalous types of couplings can be explored using similar formalism.…”
Section: Discussionsupporting
confidence: 78%
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“…We find that the temporal decay of coherence is fastest for a super Ohmic bath and slowest for a sub Ohmic bath, with an Ohmic bath exhibiting an intermediate rate of suppression of coherence. Again, the rate of decoherence is slower for higher values of the magnetic field, as has been pointed out in previous theoretical and experimental results [37][38][39][40]. These results can be later extended to non-commutative space in two dimensions and other anomalous types of couplings can be explored using similar formalism.…”
Section: Discussionsupporting
confidence: 78%
“…Using these and equations ( 28) and ( 29), one can derive the argument of the exponential factor in equation (38):…”
Section: Abrupt Cut-offmentioning
confidence: 99%
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“…We find that the temporal decay of coherence is fastest for a super Ohmic bath and slowest for a sub Ohmic bath, with an Ohmic bath exhibiting an intermediate rate of suppression of coherence. Again, the rate of decoherence is slower for higher values of the magnetic field, as has been pointed out in previous theoretical and experimental results [34][35][36][37]. These results can be later extended to non-commutative space in two dimensions and other anomalous types of couplings can be explored using similar formalism and the outcomes can be further tested in suitable cold atom experiments [45,[49][50][51].…”
Section: Discussionsupporting
confidence: 66%
“…In the corresponding study linear entropy has been considered as the measure of the purity of the states in non-commutative space [34]. The density operator and the Wigner function for an an-harmonic oscillator were computed in a 2D non-commutative phase space and the effects of magnetic field on the decoherence rate were highlighted, using time-independent coefficients, featuring the Markovian heat bath dynamics [35][36][37]. Later, the master equation was derived for the momentum coupling scenario in the framework of non-Markovian dynamics [38].…”
Section: Introductionmentioning
confidence: 99%