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Published on: August 1, 2017
Prescaling in a Far-from-Equilibrium Bose Gas.
Christian-Marcel Schmied1,2, Aleksandr N Mikheev1, Thomas Gasenzer1
1Kirchhoff-Institut für Physik, Ruprecht-Karls-Universität Heidelberg, Im Neuenheimer Feld 227, 69120 Heidelberg, Germany.
Quantum systems can exhibit prescaling behavior, showing early universal properties on accessible timescales before reaching a final nonthermal fixed point. This early evolution reveals scaling exponents and conserved quantities, offering insights into quantum many-body dynamics.
Area of Science:
- Quantum physics
- Many-body systems
- Statistical mechanics
Background:
- Nonequilibrium quantum many-body systems evolve towards universal configurations at nonthermal fixed points.
- Reaching these fixed points typically requires very long evolution times, often beyond experimental reach.
- Early-time dynamics, or prescaling, may offer insights into universal behavior on experimentally accessible timescales.
Purpose of the Study:
- To investigate the phenomenon of prescaling in quantum many-body systems.
- To identify measurable properties that exhibit universal scaling during the prescaling regime.
- To understand the role of symmetries and conservation laws in prescaling evolution.
Main Methods:
- Theoretical analysis of spatially uniform three-dimensional Bose gases with N=3 species.
- Consideration of identical inter- and intraspecies interactions.
- Examination of symmetry breaking from U(N) to U(N-1) during evolution.
Main Results:
- Systems can exhibit prescaling, showing universal scaling in some spatial correlation properties earlier than the full fixed point.
- Prescaling evolution is governed by conservation laws linked to remaining symmetries.
- The study observed the buildup of rescaling quasicondensate distributions due to conserved transport.
Conclusions:
- Prescaling provides an avenue to study universal quantum many-body dynamics on experimentally relevant timescales.
- Symmetries and associated conservation laws play a crucial role in defining the universality class and prescaling behavior.
- The findings contribute to understanding the complex evolution of quantum systems out of equilibrium.
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