Open quantum systems with Kadanoff-Baym equations
We study the temporal evolution of quantum mechanical fermionic particles exhibiting one bound state within a one-dimensional attractive square-well potential in a heat bath of bosonic particles. For this open quantum system we formulate the non-equilibrium Kadanoff-Baym equations for the system par...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-04-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324001473 |
| _version_ | 1797221857240285184 |
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| author | Tim Neidig Jan Rais Marcus Bleicher Hendrik van Hees Carsten Greiner |
| author_facet | Tim Neidig Jan Rais Marcus Bleicher Hendrik van Hees Carsten Greiner |
| author_sort | Tim Neidig |
| collection | DOAJ |
| description | We study the temporal evolution of quantum mechanical fermionic particles exhibiting one bound state within a one-dimensional attractive square-well potential in a heat bath of bosonic particles. For this open quantum system we formulate the non-equilibrium Kadanoff-Baym equations for the system particles by taking the interactions to be elastic 2-2 scatterings with the heat-bath particles. The corresponding spatially inhomogeneous integro-differential equations for the one-particle Greens's function are solved numerically. We demonstrate how the system particles equilibrate and thermalize with the heat bath and how the off-diagonal elements of the density matrix, expressed in the one-particle energy eigenbasis, decohere, so that only the diagonal entries, i.e. the occupation numbers, survive. In addition, the time evolution of the (retarded) Green's function also determines the spectral properties of the various one-particle quantum states. |
| first_indexed | 2024-04-24T13:12:06Z |
| format | Article |
| id | doaj.art-c044f7348886488e8023cdad198b1f85 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-24T13:12:06Z |
| publishDate | 2024-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-c044f7348886488e8023cdad198b1f852024-04-05T04:39:55ZengElsevierPhysics Letters B0370-26932024-04-01851138589Open quantum systems with Kadanoff-Baym equationsTim Neidig0Jan Rais1Marcus Bleicher2Hendrik van Hees3Carsten Greiner4Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany; Helmholtz Research Academy Hessen for FAIR (HFHF), GSI Helmholtz Center, Campus Frankfurt, Max-von-Laue-Straße 12, 60438 Frankfurt am Main, Germany; Corresponding author at: Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany.Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany; Helmholtz Research Academy Hessen for FAIR (HFHF), GSI Helmholtz Center, Campus Frankfurt, Max-von-Laue-Straße 12, 60438 Frankfurt am Main, GermanyInstitut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany; Helmholtz Research Academy Hessen for FAIR (HFHF), GSI Helmholtz Center, Campus Frankfurt, Max-von-Laue-Straße 12, 60438 Frankfurt am Main, GermanyInstitut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany; Helmholtz Research Academy Hessen for FAIR (HFHF), GSI Helmholtz Center, Campus Frankfurt, Max-von-Laue-Straße 12, 60438 Frankfurt am Main, GermanyInstitut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany; Helmholtz Research Academy Hessen for FAIR (HFHF), GSI Helmholtz Center, Campus Frankfurt, Max-von-Laue-Straße 12, 60438 Frankfurt am Main, GermanyWe study the temporal evolution of quantum mechanical fermionic particles exhibiting one bound state within a one-dimensional attractive square-well potential in a heat bath of bosonic particles. For this open quantum system we formulate the non-equilibrium Kadanoff-Baym equations for the system particles by taking the interactions to be elastic 2-2 scatterings with the heat-bath particles. The corresponding spatially inhomogeneous integro-differential equations for the one-particle Greens's function are solved numerically. We demonstrate how the system particles equilibrate and thermalize with the heat bath and how the off-diagonal elements of the density matrix, expressed in the one-particle energy eigenbasis, decohere, so that only the diagonal entries, i.e. the occupation numbers, survive. In addition, the time evolution of the (retarded) Green's function also determines the spectral properties of the various one-particle quantum states.http://www.sciencedirect.com/science/article/pii/S0370269324001473 |
| spellingShingle | Tim Neidig Jan Rais Marcus Bleicher Hendrik van Hees Carsten Greiner Open quantum systems with Kadanoff-Baym equations Physics Letters B |
| title | Open quantum systems with Kadanoff-Baym equations |
| title_full | Open quantum systems with Kadanoff-Baym equations |
| title_fullStr | Open quantum systems with Kadanoff-Baym equations |
| title_full_unstemmed | Open quantum systems with Kadanoff-Baym equations |
| title_short | Open quantum systems with Kadanoff-Baym equations |
| title_sort | open quantum systems with kadanoff baym equations |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324001473 |
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