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Entanglement Phase Transitions in Non-Hermitian Kitaev Chains
Longwen Zhou1,2,3
1College of Physics and Optoelectronic Engineering, Ocean University of China, Qingdao 266100, China.
Entropy (Basel, Switzerland)
|March 28, 2024
Summary
We discovered entanglement phase transitions in quantum systems caused by particle loss. These transitions reveal distinct topological features in non-Hermitian superconductors.
Area of Science:
- Quantum physics
- Condensed matter physics
- Topological phases
Background:
- Quantum many-particle systems exhibit complex dynamics influenced by unitary evolution and measurements.
- Entanglement phase transitions are a key phenomenon in understanding these dynamics.
- Non-Hermitian systems, particularly topological superconductors, offer a unique platform to study these transitions.
Purpose of the Study:
- To investigate entanglement phase transitions induced by particle loss in non-Hermitian topological superconductors.
- To characterize the behavior of bipartite entanglement entropy in different topological phases.
- To establish a connection between spectral, topological, and entanglement properties.
Main Methods:
- Utilizing prototypical Kitaev chains with onsite particle losses.
- Varying hopping and pairing ranges to explore different topological phases.
- Analyzing the scaling of bipartite entanglement entropy with system size in steady states.
Main Results:
- Bipartite entanglement entropy scales logarithmically with system size in topologically nontrivial phases.
- Entanglement entropy becomes independent of system size in the trivial phase.
- Distinct scaling coefficients and entanglement phase transitions (log-law to log-law, log-law to area-law) are observed between different topological phases.
Conclusions:
- Loss-induced entanglement transitions are identified in non-Hermitian topological superconductors.
- Entanglement entropy scaling serves as a sensitive indicator of topological properties.
- This work provides a method to dynamically probe topological features in these systems.
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