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Quantum Quench in PT-Symmetric Luttinger Liquid
Balázs Dóra1, Cătălin Paşcu Moca2,3
1Department of Theoretical Physics and MTA-BME Lendület Topology and Correlation Research Group, Budapest University of Technology and Economics, 1521 Budapest, Hungary.
Physical Review Letters
|April 18, 2020
Summary
Non-Hermitian systems exhibit faster-than-light quantum information spread, with supersonic modes emerging in PT-symmetric Luttinger liquids (LLs). This extends LL universality to non-equilibrium, non-Hermitian physics.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Many-Body Systems
Background:
- Luttinger liquids (LLs) model low-energy excitations in 1D interacting systems.
- LLs show universal behavior in and out of equilibrium.
- Non-Hermitian systems introduce unique quantum phenomena.
Purpose of the Study:
- Analyze the behavior of PT-symmetric Luttinger liquids in the non-Hermitian realm.
- Investigate quantum information dynamics after a quantum quench.
- Explore emergent phenomena in non-Hermitian quantum systems.
Main Methods:
- Focus on the fermionic single-particle density matrix.
- Analytical calculations.
- Numerical benchmarking of analytical results.
Main Results:
- Emergence of supersonic modes where correlations propagate faster than the Lieb-Robinson bound.
- Supersonic modes travel at multiples of the conventional light cone velocity.
- Long-time limit shows typical LL behavior, extending universality.
Conclusions:
- Non-Hermitian systems exhibit faster quantum information dispersal.
- Supersonic correlation propagation is a generic feature of non-Hermitian systems.
- LL universality is extended to non-equilibrium, non-Hermitian regimes.
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