arXiv:cond-mat/9810368

Comment on ``On loss of quantum coherence in an interacting Fermi gas'' (cond-mat/9810297)

Dmitry S. Golubev, Andrei D. Zaikin

Published Oct 27, 1998• 0 citations

Abstract

In a recent paper \cite{EH} Eriksen and Hedegard (EH) claimed that they ``clarified'' our path integral calculation \cite{GZ1} and found an error in our analysis. Here we will demonstrate that this claim is based on mathematically incorrect and physically meaningless procedure invented by the authors \cite{EH}. The main problem in the EH analysis is due to their erroneous calculation of Gaussian path integrals and has nothing to do with the momentum recoil of a particle interacting with an external bath.

DOI: 10.48550/arxiv.cond-mat/9810368

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Reply to “Comment on ‘Coherent-state path integrals in the continuum’”

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In this Reply we briefly clarify the main points of our method to construct coherent-state path integrals in the continuum and we reply to the critique raised by in the preceding Comment by Kochetov [Phys. Rev. A 99, 026101 (2019)]. By using definite examples, we prove that our approach is capable of resolving the inconsistencies accompanying the standard coherent-state path-integral representation of interacting systems.

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arXiv:cond-mat/9810368

Comment on ``On loss of quantum coherence in an interacting Fermi gas'' (cond-mat/9810297)

Dmitry S. Golubev, Andrei D. Zaikin

Published Oct 27, 1998• 0 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.cond-mat/9810368

Related papers

On loss of quantum coherence in an interacting Fermi gas

Kasper Astrup Eriksen, Per Hedegård

We clarify the path integral calculation, recently suggested by Golubev and Zaikin, and show, contrary to their claim, that quasiparticles become fully coherent quantum particles in the $T \to 0$ limit. The important physical point is the inclusion of the recoil of the quasiparticle when interacting with fluctuations in the rest of the Fermi gas.We clarify the path integral calculation, recently suggested by Golubev and Zaikin, and show, contrary to their claim, that quasiparticles become fully coherent quantum particles in the $T \to 0$ limit. The important physical point is the inclusion of the recoil of the quasiparticle when interacting with fluctuations in the rest of the Fermi gas.

arXiv:cond-mat/9810297Oct 22, 19980 citations

Reply to a Comment on "Quantum Decoherence in Disordered Mesoscopic Systems" (cond-mat/9808078, cond-mat/9808053)

Dmitry S. Golubev, Andrei D. Zaikin

We reply to the critique of our results raised by Aleiner, Altshuler and Gershenzon (AAG) in cond-mat/9808078 and cond-mat/9808053. We demonstrate that our path integral analysis fully reproduces the results of AAG if analyzed on a perturbative level. This should settle the issue of "missing diagrams" in our calculation. We, furthermore, demonstrate that our approach allows us to proceed beyond the Golden-rule-type perturbation theory employed by AAG. This explains the difference between our and AAG's results. We also comment on the comparison of our results with the experiments presented by AAG.We reply to the critique of our results raised by Aleiner, Altshuler and Gershenzon (AAG) in cond-mat/9808078 and cond-mat/9808053. We demonstrate that our path integral analysis fully reproduces the results of AAG if analyzed on a perturbative level. This should settle the issue of "missing diagrams" in our calculation. We, furthermore, demonstrate that our approach allows us to proceed beyond the Golden-rule-type perturbation theory employed by AAG. This explains the difference between our and AAG's results. We also comment on the comparison of our results with the experiments presented by AAG.

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Comment on ``Influence Functional for Decoherence of Interacting Electrons in Disordered Conductors'' (cond-mat/0510563v1) and on related papers (cond-mat/0510556v1 and cond-mat/0510557v1)

Dmitry S. Golubev, Andrei D. Zaikin

Recently von Delft (cond-mat/0510563v1)(JvD) has successfully re-derived our influence functional for interacting electrons and claimed that within our approach he was able to obtain the electron decoherence rate that vanishes at T=0. In this Comment we demonstrate that this JvD's claim is in error, as it is based on ambiguous and uncontrolled manipulations violating basic principles of quantum theory, such as energy-time uncertainty relation, causality, fluctuation-dissipation theorem, detailed balance and the like. We also briefly address insufficient approximations employed by Marquardt {\it et al.} (cond-mat/0510556v1) and by von Delft {\it et al.} (cond-mat/0510557v1) and demonstrate that the results of all three papers in the limit T=0 are inconsistent with simple rules of algebra.Recently von Delft (cond-mat/0510563v1)(JvD) has successfully re-derived our influence functional for interacting electrons and claimed that within our approach he was able to obtain the electron decoherence rate that vanishes at T=0. In this Comment we demonstrate that this JvD's claim is in error, as it is based on ambiguous and uncontrolled manipulations violating basic principles of quantum theory, such as energy-time uncertainty relation, causality, fluctuation-dissipation theorem, detailed balance and the like. We also briefly address insufficient approximations employed by Marquardt {\it et al.} (cond-mat/0510556v1) and by von Delft {\it et al.} (cond-mat/0510557v1) and demonstrate that the results of all three papers in the limit T=0 are inconsistent with simple rules of algebra.

arXiv:cond-mat/0512411Dec 16, 20051 citation

Reply to “Comment on ‘Coherent-state path integrals in the continuum’”

G. Kordas, S. I. Mistakidis, A. I. Karanikas

Physical Review AFeb 13, 20193 citations

Comment on ``Specific heat of a Fermi system near ferromagnetic quantum phase transition'' by Grosu, Bodea, and Crisan (cond-mat/0101392)

D. Belitz, T. R. Kirkpatrick

We comment on various incorrect claims made in a recent paper by Grosu et al. (cond-mat/0101392).

arXiv:cond-mat/0102064Feb 5, 20010 citations

Comments on "Thermally induced rotons in two-dimensional dilute Bose gases" [arXiv:cond-mat/0503523]

Sang-Hoon Kim

A mistake of the effective interaction between D-dimensional Bose atoms [arXiv:cond-mat/0503523] that was published by Physical Review B in 2006 is corrected.

arXiv:0810.3051Oct 17, 20080 citations

We clarify the path integral calculation, recently suggested by Golubev and Zaikin, and show, contrary to their claim, that quasiparticles become fully coherent quantum particles in the

T \to 0

limit. The important physical point is the inclusion of the recoil of the quasiparticle when interacting with fluctuations in the rest of the Fermi gas.