Regensburg 2025 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Poster: Quantum Dynamics and Many-body Systems
DY 29.1: Poster
Wednesday, March 19, 2025, 15:00–18:00, P4
Prethermalization in Open Quantum Systems — •Saptarshi Saha1 and Rangeet Bhattacharyya2 — 1Institute of Theoretical Physics, Technical University of Berlin Hardenbergstr. 36, Sekr. EW 7-1, 10623 Berlin, Germany. — 2Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur-741246, West Bengal, India
A nearly-integrable isolated quantum many-body system reaches a quasi-stationary prethermal state before a late thermalization. Here, we revisit a particular example in the settings of an open quantum system (OQS). We consider a collection of non-interacting atoms coupled to a spatially correlated bosonic bath characterized by a bath correlation length. Our result implies that the integrability of the system depends on such a correlation length. If this length is much larger than the distance between the atoms, such a system behaves as a nearly-integrable OQS. We study the properties of the emerging prethermal state for this case, i.e. the state's lifetime, the extensive number of existing quasi-conserved quantities, the emergence of the generalized Gibbs state, and the scaling of von Neumann entropy, etc. We find that for the prethermal state, the maximum growth of entropy is logarithmic with the number of atoms, whereas such growth is linear for the final steady state, which is the Gibbs state in this case.
Keywords: Prethermalization; Integrable; Open quantum system; Generalized Gibbs state; Logarithmic growth of Entropy