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Quantum quench in PT-symmetric Luttinger liquid
- Source :
- Phys. Rev. Lett. 124, 136802 (2020)
- Publication Year :
- 2019
-
Abstract
- A Luttinger liquid (LL) describes low energy excitations of many interacting one dimensional systems, and exhibits universal response both in and out of equilibrium. We analyze its behaviour in the non-hermitian realm after quantum quenching to a PT-symmetric LL by focusing on the fermionic single particle density matrix. For short times, we demonstrate the emergence of unique phenomena, characteristic to non-hermitian systems, that correlations propagate faster than the conventional maximal speed, known as the Lieb-Robinson bound. These emergent supersonic modes travel with velocities that are multiples of the conventional light-cone velocity. This behaviour is argued to be generic for correlators in non-hermitian systems. In the long time limit, we find typical LL behaviour, extending the LL universality to the non-equilibrium non-hermitian case. Our analytical results are benchmarked numerically and indicate that the dispersal of quantum information is much faster in non-hermitian systems.<br />Comment: 6+1 pages, 3 figures
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Condensed Matter - Quantum Gases
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Lett. 124, 136802 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.1906.02637
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.124.136802