Lindbladian dissipation of strongly-correlated quantum matter

Sá, Lucas (avtor), Ribeiro, Pedro (avtor), Prosen, Tomaž (avtor)

We propose the Sachdev-Ye-Kitaev Lindbladian as a paradigmatic solvable model of dissipative many-body quantum chaos. It describes N strongly coupled Majorana fermions with random all-to-all interactions, with unitary evolution given by a quartic Hamiltonian and the coupling to the environment described by M quadratic jump operators, rendering the full Lindbladian quartic in the Majorana operators. Analytical progress is possible by developing a dynamical mean-field theory for the Liouvillian time evolution on the Keldysh contour. By disorder-averaging the interactions, we derive an (exact) effective action for two collective fields (Green’s function and self-energy). In the large-N, large-M limit, we obtain the saddle-point equations satisfied by the collective fields, which determine the typical timescales of the dissipative evolution, particularly the spectral gap that rules the relaxation of the system to its steady state. We solve the saddle-point equations numerically and find that, for strong or intermediate dissipation, the system relaxes exponentially, with a spectral gap that can be computed analytically, while for weak dissipation, there are oscillatory corrections to the exponential relaxation. In this letter, we illustrate the feasibility of analytical calculations in strongly correlated dissipative quantum matter.

• Jezik: Angleški jezik
• Ključne besede: condensed matter physics, strongly-correlated systems, quantum chaos
• Vrsta gradiva: Znanstveno delo
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Datum objave: 30.06.2022
• Leto izida: 2022
• Št. strani: Str. L022068-1-L022068-8
• Številčenje: Vol. 4, iss. 2
• PID: 20.500.12556/RUL-140002
• UDK: 538.9
• ISSN pri članku: 2643-1564
• DOI: 10.1103/PhysRevResearch.4.L022068
• COBISS.SI-ID: 120644611
• Datum objave v RUL: 09.09.2022

Gradivo je del revije

• Naslov: Physical review research
• Založnik: American Phyisical Society
• ISSN: 2643-1564
• COBISS.SI-ID: 32822823

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: fizika kondenzirane snovi, močno korelirani sistemi, kvantni kaos

Projekti

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: P1-0402
• Naslov: Matematična fizika

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open Many-body Non-Equilibrium Systems
• Akronim: OMNES