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- W51963378 abstract "Quantum transport properties of low dimensional ma-terials are currently an object of intensive theoretical (seeRef. [1] for a recent review) and experimental[2] research.Particularly interesting is the case of quasi-1d stronglyinteracting particle systems, where an important link be-tween conductivity and integrability has been recentlyestablished [3]. However, most of theoretical studies fo-cused on the close to equilibrium situation by using thelinear response formalism, and almost nothing is knownabout the physics of such systems far from equilibrium(FFE). In order to drive a small interacting quantumsystem FFE one has to couple it strongly to some macro-scopic reservoirs. Theoreticaldescription ofthis situationusually goes via master equation for the density matrixwhere the non-unitary (dissipative) term depends on thecoupling of the model to the reservoirs. Numerical simu-lations of such situations in non-trivial models have onlyrecently became computationally feasible [4].In this paper we propose conceptually simple and per-haps experimentally realizable form of coupling of a small1d interacting quantum system to a pair of macroscopicbaths of spins (or spinless fermions, or any other quan-tum two level systems – qubits). Our setting can also beviewed as a simple model of the qubit transport whichmay be of relevance in quantum information. In additionit allowsfor a veryefficient (stochastic) numerical simula-tion of the non-equilibrium steady state (NESS) in termsof a pure state which only after averaging over stochas-tic bath interactions statistically converges to the properdensity-matrix of NESS. We believe that, for a generic,non-pathological quantum interacting system, the bulkproperties of NESS in the thermodynamic limit shouldnot depend on the model of the baths. And now wecome to the main point. We apply our model to sim-ulate FFE spin transport in the well known HeisenbergXXZ spin 1/2 chain. While in the regime, known as ide-ally conducting [3, 5], we find expected results, namelythat the spin current increases monotonically (and al-most linearly) with the increasing driving field, we finda very different result in the other regime, which is for" @default.
- W51963378 created "2016-06-24" @default.
- W51963378 creator A5055891902 @default.
- W51963378 date "2007-04-17" @default.
- W51963378 modified "2023-09-27" @default.
- W51963378 title "Negative differential conductivity in Heisenberg XXZ chain far from equilibrium" @default.
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- W51963378 hasPublicationYear "2007" @default.
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