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Published on: September 5, 2019
Minimally entangled typical quantum States at finite temperature
1Department of Physics and Astronomy, University of California, Irvine, California 92697, USA.
We introduce minimally entangled typical thermal states for quantum systems. These states intuitively reveal hidden properties like short-range order at finite temperatures.
Area of Science:
- Quantum Many-Body Physics
- Statistical Mechanics
Background:
- Understanding quantum systems at finite temperatures is challenging.
- Typical states often exhibit complex entanglement.
- Classical properties can be obscured in quantum systems.
Purpose of the Study:
- Introduce minimally entangled typical thermal states (METTS).
- Develop a method to intuitively reveal hidden properties like short-range order.
- Adapt algorithms for finite-temperature quantum system analysis.
Main Methods:
- Definition of minimally entangled typical thermal states.
- Development of a finite-temperature density matrix renormalization group (DMRG) algorithm.
- Application of METTS to uncover hidden system properties.
Main Results:
- METTS provide an intuitive view of quantum states at finite temperatures.
- Short-range order and other classical properties are revealed.
- The finite-T DMRG algorithm is efficient, only modestly slower than T=0 DMRG.
Conclusions:
- METTS offer a valuable tool for studying quantum systems at finite temperatures.
- The developed finite-T DMRG algorithm is practical for research.
- This approach enhances the understanding of quantum-to-classical transitions.
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