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Open Quantum Systems Decoherence
Quantum Simulation
Quantum Thermodynamics
Boundary driven XYZ chain: Exact inhomogeneous triangular matrix product ansatz
arXiv
Authors: Vladislav Popkov, Xin Zhang, Tomaz Prosen
Year
2021
Paper ID
40783
Status
Preprint
Abstract Read
~2 min
Abstract Words
82
Citations
N/A
Abstract
We construct an explicit matrix product ansatz for the steady state of a boundary driven XYZ spin-tfrac{1}{2} chain for arbitrary local polarizing channels at the chain's ends. The ansatz, where the Lax operators are written explicitly in terms of infinite-dimensional bidiagonal (triangular) site-dependent matrices, becomes exact either in the (Zeno) limit of infinite dissipation strength, or thermodynamic limit of infinite chain length. The solution is based on an extension of the newly discovered family of separable eigenstates of the model.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We construct an explicit matrix product ansatz for the steady state of a boundary driven XYZ spin-tfrac12 chain for arbitrary local polarizing channels at the chain's ends.
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