Minimal irreversible quantum mechanics: Pure-state formalism

Castagnino, Mario; Laura, Roberto

doi:10.1103/physreva.56.108

Cited by 48 publications

(98 citation statements)

References 22 publications

(34 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…is an analytical continuation in the complex plane, being the first one a simple change of a real variable, from λ to ω. These considerations show that papers [26], [44], [45] and, in general, the method presented in this paper, are free from Hartog's objection.…”

Section: Discussionmentioning

confidence: 91%

“…where some poles could be found (see details in [26] and [44]). However, since this is a 'free' period, there should be no decoherence, i.e.…”

Section: The Origin Of the Polesmentioning

confidence: 99%

“…The decoherence time can be estimated in particular cases like e.g. the Friedrich model studied in papers [26] and [44], where we obtain…”

Section: Decoherence Time For Microscopic Systemsmentioning

confidence: 99%

“…[46], [47]) and its extension to the Liouville-von Neumann space (see e.g. [26] and [44]). By means of this theory, we can compute the decoherence time in terms of the poles corresponding to the functions involved in the fluctuating term of O ρ(t) (see eq.…”

Section: Poles In the Expectation Value Equationmentioning

confidence: 99%

“…In a series of papers ( [13], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38]) we have returned to the initial idea of the destructive interference of the off-diagonal terms of the density matrix, but now on the basis of the van Hove formalism ( [39], [40], [41], [42], [43]). We have called this new approach 'self-induced decoherence' because, from this viewpoint, decoherence is not produced by the interaction between a system and its environment, but results from the own dynamics of the whole quantum system governed by a Hamiltonian with continuous spectrum.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Decoherence time in self-induced decoherence

Castagnino

Lombardi

2005

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

A general method for obtaining the decoherence time in self-induced decoherence is presented. In particular, it is shown that such a time can be computed from the poles of the resolvent or of the initial conditions in the complex extension of the Hamiltonian's spectrum. Several decoherence times are estimated: 10 −13 − 10 −15 s for microscopic systems, and 10 −37 − 10 −39 s for macroscopic bodies. For the particular case of a thermal bath, our results agree with those obtained by the einselection (environment-induced decoherence) approach. PACS number(s) 03.65.Bz

show abstract

Section: Discussionmentioning

confidence: 91%

“…where some poles could be found (see details in [26] and [44]). However, since this is a 'free' period, there should be no decoherence, i.e.…”

Section: The Origin Of the Polesmentioning

confidence: 99%

“…The decoherence time can be estimated in particular cases like e.g. the Friedrich model studied in papers [26] and [44], where we obtain…”

Section: Decoherence Time For Microscopic Systemsmentioning

confidence: 99%

Section: Poles In the Expectation Value Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Decoherence time in self-induced decoherence

Castagnino

Lombardi

2005

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

show abstract

Coherence theory and coherence phenomena in a closed spin-1/2 system

Dannenberg¹

2008

Ann. Phys.

View full text Add to dashboard Cite

A simplified Heisenberg spin model is studied in order to examine the idea of decoherence in closed quantum systems. For this purpose, we present a quantifiable definition to quantum coherence $\Xi$, and discuss in some detail a general coherence theory and its elementary results. As expected, decoherence is understood as a statistical process that is caused by the dynamics of the system, similar to the growth of entropy. It appears that coherence is an important measure that helps to understand quantum properties of a system, e.g., the decoherence time can be derived from the coherence function $\Xi(t)$, but not from the entropy dynamics. Moreover, the concept of decoherence time is applicable in closed and finite systems. However, in most cases, the decay of off-diagonal elements differs from the usual $\exp(-t/\tau_{\rm d})$ behaviour. For concreteness, we report the form of decoherence time $\tau_{\rm d}$ in a finite Heisenberg model with respect to the number of particles $N$, density $n_{\rho}$, spatial dimension $D$ and $\epsilon$ in a $\eta/r^{\epsilon}$-type of potential.Comment: 31 pages, 5 figures, v2: major changes, accepted for publicatio

show abstract

Coherence theory and coherence phenomena in a closed spin‐1/2 system

Dannenberg

2008

Annalen der Physik

View full text Add to dashboard Cite

A simplified Heisenberg spin model is studied in order to examine the idea of decoherence in closed quantum systems. For this purpose, we present a quantifiable definition to quantum coherence Ξ, and discuss in some detail a general coherence theory and its elementary results. As expected, decoherence is understood as a statistical process that is caused by the dynamics of the system, similar to the growth of entropy. It appears that coherence is an important measure that helps to understand quantum properties of a system, e.g., the decoherence time can be derived from the coherence function Ξ(t), but not from the entropy dynamics. Moreover, the concept of decoherence time is applicable in closed and finite systems. However, in most cases, the decay of off‐diagonal elements differs from the usual exp(‐t/τd) behaviour. For concreteness, we report the form of decoherence time τd in a finite Heisenberg model with respect to the number of particles N, density nρ, spatial dimension D and ϵ in a η/rϵ‐type of potential.

show abstract

Minimal irreversible quantum mechanics: Pure-state formalism

Cited by 48 publications

References 22 publications

Decoherence time in self-induced decoherence

Decoherence time in self-induced decoherence

Coherence theory and coherence phenomena in a closed spin-1/2 system

Coherence theory and coherence phenomena in a closed spin‐1/2 system

Contact Info

Product

Resources

About