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Study of quantum nonlocality by CHSH function and its extension in disordered fermions
1Graduate School of Engineering Science, Akita University, Akita 010-8502, Japan.
Journal of Physics. Condensed Matter : an Institute of Physics Journal
|September 18, 2024
Summary
Quantum nonlocality in disordered fermion systems was studied. The Clauser-Horne-Shimony-Holt inequality shows finite violation probability in critical phases, indicating quantum nonlocality.
Area of Science:
- Quantum Physics
- Condensed Matter Physics
Background:
- Quantum nonlocality is a fundamental property of quantum mechanics.
- Understanding nonlocality in many-body systems is crucial for quantum information science.
- Quasi-periodic disorder introduces complex behavior in quantum systems.
Purpose of the Study:
- To investigate quantum nonlocality in a disordered fermion many-body system.
- To analyze the behavior of the Clauser-Horne-Shimony-Holt (CHSH) inequality near phase transitions.
- To explore multipartite nonlocality using Mermin-Klyshko-Svetlichny (MKS) polynomials.
Main Methods:
- Systematic investigation of the CHSH inequality.
- Analysis of quantum nonlocality quantifiers around extended and critical phase transitions.
- Study of MKS polynomials for characterizing multipartite quantum nonlocality.
Main Results:
- The CHSH inequality is not broken in the globally averaged maximum value.
- Finite violation probability of the CHSH inequality is observed for specific site pairs in critical phases and on phase boundaries.
- Adjacent three-qubit MKS polynomials exhibit nonlocal violation regimes in critical regimes.
Conclusions:
- Quantum nonlocality persists in disordered fermion systems, particularly near critical points.
- The violation of the CHSH and MKS inequalities provides signatures of nonlocality in specific parts of the system.
- The findings offer insights into the interplay between disorder, phase transitions, and quantum entanglement.
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