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OpenXXZSpin Chain: Nonequilibrium Steady State and a Strict Bound on Ballistic Transport
Open accessAbstract
An explicit matrix product ansatz is presented, in the first two orders in the (weak) coupling parameter, for the nonequilibrium steady state of the homogeneous, nearest neighbor Heisenberg XXZ spin 1/2 chain driven by Lindblad operators which act only at the edges of the chain. The first order of the density operator becomes, in the thermodynamic limit, an exact pseudolocal conservation law and yields-via the Mazur inequality-a rigorous lower bound on the high-temperature spin Drude weight. Such a Mazur bound is a nonvanishing fractal function of the anisotropy parameter Δ for |Δ|<1.
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Cites
Modeling heat transport through completely positive maps
Wichterich, H., Henrich, M. J., Breuer, H.-P., Gemmer, J., & Michel, M. (2007) · Physical Review E · doi:10.1103/physreve.76.031115 · Cited by 224
Cited by
Quantum trajectories and open many-body quantum systems
Daley, A. J. (2014) · Advances in Physics · doi:10.1080/00018732.2014.933502 · Cited by 853
A short introduction to the Lindblad master equation
Manzano, D. (2020) · AIP Advances · doi:10.1063/1.5115323 · Cited by 714
Quench dynamics and relaxation in isolated integrable quantum spin chains
Essler, F. H. L., & Fagotti, M. (2016) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2016/06/064002 · Cited by 668
Symmetries and conserved quantities in Lindblad master equations
Albert, V. V., & Jiang, L. (2014) · Physical Review A · doi:10.1103/physreva.89.022118 · Cited by 448
Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
Bulchandani, V. B., Vasseur, R., Karrasch, C., & Moore, J. E. (2018) · Physical Review B · doi:10.1103/physrevb.97.045407 · Cited by 292
Metadata
- Authors
- Prosen, T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-05-27
- Volume
- 106
- Issue
- 21
- Pages
- 217206-217206
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2018239548
- Cited by
- 516
- References
- 1
- FWCI
- 16.68
- Type
- journal article
- Language
- en
- Open access
- green
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