Hysteretic phenomena in many-body physics
Ivan C. Danchev (University of South Carolina)
TL;DR
This paper explores how cyclic changes in an order parameter in many-body systems with spontaneous symmetry breaking induce a dissipative geometric phase, linking dissipation mechanisms across different theoretical frameworks.
Contribution
It introduces the concept of a dissipative geometric phase arising from cyclic order parameter evolution in many-body systems with symmetry breaking, connecting it to existing dissipation theories.
Findings
Identification of a dissipative geometric phase in many-body systems
Connection between dissipation in thermo-field dynamics and geometric phases
Insight into symmetry-breaking phenomena in quantum systems
Abstract
We show that the cyclic evolution of an order parameter in a many-body system with spontaneous symmetry breaking in the ground state brings about a dissipative geometric phase. This phase originates from the same mechanism that leads to dissipation in thermo-field dynamics studied earlier by Umezawa and his collaborators and appears to be a manifestation of the dissipative geometric phase introduced recently by Jain and Pati.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Quantum many-body systems