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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Emergent irreversibility and entanglement spectrum statistics
Claudio Chamon1, Alioscia Hamma2, Eduardo R Mucciolo3
1Department of Physics, Boston University, Boston, Massachusetts 02215, USA.
Physical Review Letters
|July 5, 2014
Summary
We found that entanglement spectrum fluctuations signal irreversibility in quantum systems, offering a new way to study quantum chaos. This method works even when energy levels are undefined.
Area of Science:
- Quantum Information Science
- Statistical Physics
- Quantum Dynamics
Background:
- Dynamical evolution of many-body systems is typically Hamiltonian.
- Stochastic quantum circuits offer a more general framework for quantum evolution.
- Traditional methods linking energy spectrum fluctuations to irreversibility fail when energy levels are ill-defined.
Purpose of the Study:
- To establish a general connection between irreversibility and system dynamics beyond Hamiltonian evolution.
- To identify a new indicator for irreversibility in quantum systems.
- To explore the relationship between entanglement spectrum statistics and quantum chaos.
Main Methods:
- Analysis of many-body systems described by stochastic quantum circuits.
- Investigation of the entanglement spectrum as a probe of system properties.
- Application of a disentangling algorithm to detect irreversibility.
- Examination of statistical fluctuations within the entanglement spectrum.
Main Results:
- Irreversibility in stochastic quantum circuits is marked by the failure of a disentangling algorithm.
- The onset of irreversibility is preceded by Wigner-Dyson statistical fluctuations in the entanglement spectrum.
- The entanglement spectrum provides a general connection to irreversibility, applicable beyond Hamiltonian systems.
Conclusions:
- The entanglement spectrum offers a universal tool to detect irreversibility in quantum many-body systems.
- Wigner-Dyson statistics in the entanglement spectrum serve as a precursor to irreversibility.
- This approach provides an alternative pathway for studying quantum chaos and integrability at the wave-function level.
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