Projection-operator approach to master equations for coarse-grained occupation numbers in nonideal quantum gases

Bartsch, Christian; Steinigeweg, Robin; Gemmer, Jochen

doi:10.1103/physreve.81.051115

Cited by 4 publications

(2 citation statements)

References 32 publications

(60 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The later rates can be interpreted in terms of collision rates of the linearized Boltzmann equation. 44 While in Ref. 40 this approach has been used for the diagonal collision rates of a mixed fermion-boson system, here we focus on the off-diagonal rates, which describe the drag in a two-component boson-boson system.…”

Section: A Scattering Ratesmentioning

confidence: 99%

See 1 more Smart Citation

Thermal drag in spin ladders coupled to phonons

Bartsch¹,

Brenig²

2013

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

We study the spin-phonon drag effect in the magnetothermal transport of spin-1/2 two-leg ladders coupled to lattice degrees of freedom. Using a bond operator description for the triplon excitations of the spin ladder and magnetoelastic coupling to acoustic phonons, we employ the time convolutionless projection operator method to derive expressions for the diagonal and off-diagonal thermal conductivities of the coupled two-component triplon-phonon system. We find that for magnetoelastic coupling strengths and diagonal scattering rates relevant to copper-oxide spin-ladders the drag heat conductivity can be of similar magnitude as the diagonal triplon heat conductivity. Moreover, we show that the drag and diagonal conductivities display very similar overall temperature dependences. Finally, the drag conductivity is shown to be rather susceptible to external magnetic fields.Comment: 9 pages, 4 figures, submitted to Phys. Rev.

show abstract

Section: A Scattering Ratesmentioning

confidence: 99%

“…44, a proper construction of the projection operator P involves "coarse graining" of momentum space. Observable transport processes will be independent of a particular choice of the graining in the limit of small grain size.…”

Section: A Scattering Ratesmentioning

confidence: 99%

Thermal drag in spin ladders coupled to phonons

Bartsch¹,

Brenig²

2013

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

show abstract

Transport in the three-dimensional Anderson model: an analysis of the dynamics at scales below the localization length

2010

Self Cite

View full text Add to dashboard Cite

Single-particle transport in disordered potentials is investigated on scales below the localization length. The dynamics on those scales is concretely analyzed for the 3-dimensional Anderson model with Gaussian on-site disorder. This analysis particularly includes the dependence of characteristic transport quantities on the amount of disorder and the energy interval, e.g., the mean free path which separates ballistic and diffusive transport regimes. For these regimes mean velocities, respectively diffusion constants are quantitatively given. By the use of the Boltzmann equation in the limit of weak disorder we reveal the known energy-dependencies of transport quantities. By an application of the time-convolutionless (TCL) projection operator technique in the limit of strong disorder we find evidence for much less pronounced energy dependencies. All our results are partially confirmed by the numerically exact solution of the time-dependent Schrödinger equation or by approximative numerical integrators. A comparison with other findings in the literature is additionally provided.

show abstract

Boltzmann-type approach to transport in weakly interacting one-dimensional fermionic systems

Bartsch

Gemmer

2012

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

We investigate transport properties of one-dimensional fermionic tight binding models featuring nearest and next-nearest neighbor hopping, where the fermions are additionally subject to a weak short range mutual interaction. To this end we employ a pertinent approach which allows for a mapping of the underlying Schrödinger dynamics onto an adequate linear quantum Boltzmann equation. This approach is based on a suitable projection operator method. From this Boltzmann equation we are able to numerically obtain diffusion coefficients in the case of non-vanishing nextnearest neighbor hopping, i.e., the non-integrable case, whereas the diffusion coefficient diverges without next-nearest neighbor hopping. For the latter case we analytically investigate the decay behavior of the current with the result that arbitrarily small parts of the current relax arbitrarily slowly which suggests anomalous diffusive transport behavior within the scope of our approach.

show abstract

Projection-operator approach to master equations for coarse-grained occupation numbers in nonideal quantum gases

Cited by 4 publications

References 32 publications

Thermal drag in spin ladders coupled to phonons

Thermal drag in spin ladders coupled to phonons

Transport in the three-dimensional Anderson model: an analysis of the dynamics at scales below the localization length

Boltzmann-type approach to transport in weakly interacting one-dimensional fermionic systems

Contact Info

Product

Resources

About