Kinetics of quantum reaction-diffusion systems
We discuss many-body fermionic and bosonic systems subject to dissipative particle losses in arbitrary spatial dimensions $d$, within the Keldysh path-integral formulation of the quantum master equation. This open quantum dynamics represents a generalisation of classical reaction-diffusion dynamics...
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| Format: | Article |
| Language: | English |
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2025-02-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.8.1.014 |
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| author | Federico Gerbino, Igor Lesanovsky, Gabriele Perfetto |
| author_facet | Federico Gerbino, Igor Lesanovsky, Gabriele Perfetto |
| author_sort | Federico Gerbino, Igor Lesanovsky, Gabriele Perfetto |
| collection | DOAJ |
| description | We discuss many-body fermionic and bosonic systems subject to dissipative particle losses in arbitrary spatial dimensions $d$, within the Keldysh path-integral formulation of the quantum master equation. This open quantum dynamics represents a generalisation of classical reaction-diffusion dynamics to the quantum realm. We first show how initial conditions can be introduced in the Keldysh path integral via boundary terms. We then study binary annihilation reactions $A+A\to \emptyset$, for which we derive a Boltzmann-like kinetic equation. The ensuing algebraic decay in time for the particle density depends on the particle statistics. In order to model possible experimental implementations with cold atoms, for fermions in $d=1$ we further discuss inhomogeneous cases involving the presence of a trapping potential. In this context, we quantify the irreversibility of the dynamics studying the time evolution of the system entropy for different quenches of the trapping potential. We find that the system entropy features algebraic decay for confining quenches, while it saturates in deconfined scenarios. |
| format | Article |
| id | doaj-art-b3d54a8b42cf43f1b93cc10426a35fae |
| institution | Kabale University |
| issn | 2666-9366 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj-art-b3d54a8b42cf43f1b93cc10426a35fae2025-02-04T12:45:59ZengSciPostSciPost Physics Core2666-93662025-02-018101410.21468/SciPostPhysCore.8.1.014Kinetics of quantum reaction-diffusion systemsFederico Gerbino, Igor Lesanovsky, Gabriele PerfettoWe discuss many-body fermionic and bosonic systems subject to dissipative particle losses in arbitrary spatial dimensions $d$, within the Keldysh path-integral formulation of the quantum master equation. This open quantum dynamics represents a generalisation of classical reaction-diffusion dynamics to the quantum realm. We first show how initial conditions can be introduced in the Keldysh path integral via boundary terms. We then study binary annihilation reactions $A+A\to \emptyset$, for which we derive a Boltzmann-like kinetic equation. The ensuing algebraic decay in time for the particle density depends on the particle statistics. In order to model possible experimental implementations with cold atoms, for fermions in $d=1$ we further discuss inhomogeneous cases involving the presence of a trapping potential. In this context, we quantify the irreversibility of the dynamics studying the time evolution of the system entropy for different quenches of the trapping potential. We find that the system entropy features algebraic decay for confining quenches, while it saturates in deconfined scenarios.https://scipost.org/SciPostPhysCore.8.1.014 |
| spellingShingle | Federico Gerbino, Igor Lesanovsky, Gabriele Perfetto Kinetics of quantum reaction-diffusion systems SciPost Physics Core |
| title | Kinetics of quantum reaction-diffusion systems |
| title_full | Kinetics of quantum reaction-diffusion systems |
| title_fullStr | Kinetics of quantum reaction-diffusion systems |
| title_full_unstemmed | Kinetics of quantum reaction-diffusion systems |
| title_short | Kinetics of quantum reaction-diffusion systems |
| title_sort | kinetics of quantum reaction diffusion systems |
| url | https://scipost.org/SciPostPhysCore.8.1.014 |
| work_keys_str_mv | AT federicogerbinoigorlesanovskygabrieleperfetto kineticsofquantumreactiondiffusionsystems |