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Driven isotropic Heisenberg spin chain with arbitrary boundary twisting angle: exact results
V Popkov1, D Karevski2, G M Schütz3
1Dipartimento di Fisica e Astronomia, Università di Firenze, via G. Sansone 1, 50019 Sesto Fiorentino, Italy and Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, D-50937 Cologne, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 4, 2014
Summary
We studied a quantum spin chain with different boundary conditions. We found distinct behaviors for in-plane and transversal magnetization currents, with unique scaling properties for each.
Area of Science:
- Condensed matter physics
- Quantum magnetism
- Statistical mechanics
Background:
- Investigating non-equilibrium steady states in quantum systems is crucial for understanding complex phenomena.
- Open quantum systems provide a framework to study realistic physical scenarios with external influences.
Purpose of the Study:
- To analyze the nonequilibrium steady state of an open isotropic Heisenberg quantum spin chain.
- To determine the exact magnetization profiles and currents under twisted boundary conditions.
Main Methods:
- Utilized a matrix product ansatz for exact calculations.
- Analyzed a quantum spin chain with N sites coupled to boundary reservoirs.
Main Results:
- Magnetization profiles exhibit harmonic behavior dependent on the twisting angle.
- In-plane magnetization currents scale as 1/N^2 and decrease with boundary coupling.
- Transversal magnetization current increases with coupling, saturating at 2θ/N.
Conclusions:
- The study reveals distinct transport properties for different magnetization components in a twisted quantum spin chain.
- The findings offer insights into nonequilibrium dynamics and boundary effects in quantum magnetic systems.
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