Finite Temperature Matrix Product State Algorithms and Applications
Michael L. Wall, Lincoln D. Carr
TL;DR
This paper reviews matrix product state (MPS) techniques for simulating finite temperature quantum systems, introducing two methods and demonstrating their application on the Bose-Hubbard model.
Contribution
It presents two novel MPS-based algorithms for finite temperature simulations and provides a practical example with the Bose-Hubbard model.
Findings
Successful implementation of the ancilla method for finite temperature states.
Effective use of the minimally entangled typical thermal state method.
Demonstrated applicability on the Bose-Hubbard model.
Abstract
We review the basic theory of matrix product states (MPS) as a numerical variational ansatz for time evolution, and present two methods to simulate finite temperature systems with MPS: the ancilla method and the minimally entangled typical thermal state method. A sample calculation with the Bose-Hubbard model is provided.
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Taxonomy
TopicsQuantum many-body systems · Advanced Thermodynamics and Statistical Mechanics · Cold Atom Physics and Bose-Einstein Condensates