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Updated: Jun 25, 2026
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Published on: August 2, 2019
Reaching the ground state of a quantum spin glass using a zero-temperature quantum Monte Carlo method
Arnab Das1, Bikas K Chakrabarti
1The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy. arnabdas@ictp.it
Summary
Quantum annealing efficiently finds ground states for both classical and quantum spin glasses. This method proves particularly effective for quantum spin glasses with low transverse fields.
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Statistical mechanics
Background:
- Spin glasses are complex magnetic materials with disordered interactions.
- Understanding their ground states is crucial for applications and fundamental physics.
- Quantum effects, like transverse fields, add further complexity.
Purpose of the Study:
- To investigate the annealing behavior of an infinite-range +/-J Ising spin glass model.
- To explore the efficacy of quantum annealing in finding ground states.
- To compare the performance of quantum annealing for classical versus quantum spin glasses.
Main Methods:
- Utilized a zero-temperature quantum Monte Carlo simulation method.
- Simulated the annealing process in the presence of a transverse field.
- Analyzed the system's behavior to determine ground state properties.
Main Results:
- Quantum annealing successfully identifies the ground state of classical spin glasses.
- Quantum annealing is also effective for simulating the ground state of quantum spin glasses.
- Efficiency is significantly enhanced for quantum spin glasses when the transverse field is low.
Conclusions:
- Quantum annealing is a powerful technique for solving complex spin glass problems.
- The method offers a more efficient route to ground state determination in quantum spin glass systems, especially under specific conditions.
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