Anarchy

Eckstein, Arthur M.

doi:10.4135/9781412958660.n15

Cited by 15 publications

(35 citation statements)

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“…From the convergence G a t ! G a d follows then the proposition (6). Finally, (7) follows from h y k k i% d 1=e k ÿ and h y k k i% d G d kk ÿ 1.…”

mentioning

confidence: 73%

“…Comparing G a t to G a d , we see that (6) is true, if the nondiagonal contributions k Þ k 0 to G a t vanish for t ! 1.…”

mentioning

confidence: 91%

“…So far, the conjecture was discussed by analyzing specific observables for specific systems [3][4][5][6]. In [5] it was found that certain observables do not relax to the ones predicted by the ensemble% d as conjectured in [3].…”

mentioning

confidence: 99%

“…Tr ?% t Tr ?% d with Tr ?% d %G d ; (6) i.e., subsystem states relax to the reduced density matrices of% d % d , the maximum entropy ensemble (1) with Î k y k k and k ln=1 ÿ G d ÿ1 kk :…”

mentioning

confidence: 99%

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Dephasing and the Steady State in Quantum Many-Particle Systems

2008

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We discuss relaxation in bosonic and fermionic many-particle systems. For integrable systems, time evolution can cause a dephasing effect, leading for finite subsystems to steady states. We explicitly derive those steady subsystem states and devise sufficient prerequisites for the dephasing to occur. We also find simple scenarios, in which dephasing is ineffective and discuss the dependence on dimensionality and criticality. It follows further that, after a quench of system parameters, entanglement entropy will become extensive. This provides a way of creating strong entanglement in a controlled fashion.

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“…From the convergence G a t ! G a d follows then the proposition (6). Finally, (7) follows from h y k k i% d 1=e k ÿ and h y k k i% d G d kk ÿ 1.…”

mentioning

confidence: 73%

“…Comparing G a t to G a d , we see that (6) is true, if the nondiagonal contributions k Þ k 0 to G a t vanish for t ! 1.…”

mentioning

confidence: 91%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Dephasing and the Steady State in Quantum Many-Particle Systems

2008

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“…Recently, the Falicov-Kimball model was solved exactly 16,17,18,19,20,21 in the presence of a homogeneous time-dependent electric field and in the case of a sudden change in the interaction strength U. 22 In these papers, the nonequilibrium generalization of the DMFT approximation was proposed, which allows one to obtain the numerical solution of the nonequilibrium problem for the Falicov-Kimball model. The numerical method is based on the Kadnoff-Baym-Keldysh nonequilibrium Green's function formalism, when the nonequilibrium Green's function is defined on the Kadanoff-Baym-Keldysh time contour.…”

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confidence: 99%

Nonequilibrium sum rules for the retarded self-energy of strongly correlated electrons

Turkowski

Freericks

2008

Phys. Rev. B

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We derive the first two moment sum rules of the conduction electron retarded self-energy for both the Falicov-Kimball model and the Hubbard model coupled to an external spatially uniform and time-dependent electric field (this derivation also extends the known nonequilibrium moment sum rules for the Green's functions to the third moment). These sum rules are used to further test the accuracy of nonequilibrium solutions to the many-body problem; for example, we illustrate how well the self-energy sum rules are satisfied for the Falicov-Kimball model in infinite dimensions and placed in a uniform electric field turned on at time t = 0. In general, the self-energy sum rules are satisfied to a significantly higher accuracy than the Green's functions sum rules.

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Chiral Discrimination of Some Annelated Xanthine Derivatives by the Dirhodium Method

Rockitt¹,

Duddeck²,

Drabczyńska³

et al. 2000

Eur. J. Org. Chem.

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Complete 1 H and 13 C signal assignments and conformation analyses of the title compounds (racemic mixtures) were performed. Most 1 H and 13 C NMR signals were resolved in the presence of the enantiomerically pure dirhodium complex Rh 2 (MTPA) 4 (Rh*) allowing for clear and simple chiral recognition. A detailed interpretation of the signal shifts (∆δ) and dispersions (∆ν) in the diastereomeric complexes suggested that the π-system around the C-4/C-5 bond of the central im- [a] Universität Hannover,

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Anarchy

Cited by 15 publications

References 0 publications

Dephasing and the Steady State in Quantum Many-Particle Systems

Dephasing and the Steady State in Quantum Many-Particle Systems

Nonequilibrium sum rules for the retarded self-energy of strongly correlated electrons

Chiral Discrimination of Some Annelated Xanthine Derivatives by the Dirhodium Method

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