Excited-state quantum phase transitions in spinor Bose-Einstein condensates
Polina Feldmann, Carsten Klempt, Augusto Smerzi, Luis Santos, and, Manuel Gessner
TL;DR
This paper proposes using spinor Bose-Einstein condensates to study excited-state quantum phase transitions, introducing a topological order parameter and experimental methods for their detection.
Contribution
It introduces a new platform and a topological order parameter for identifying ESQPTs in atomic many-body systems, facilitating experimental exploration.
Findings
Defined a topological order parameter for ESQPTs
Proposed interferometric methods for experimental detection
Established spinor BECs as a versatile platform for ESQPT studies
Abstract
Excited-state quantum phase transitions (ESQPTs) extend the notion of quantum phase transitions beyond the ground state. They are characterized by closing energy gaps amid the spectrum. Identifying order parameters for ESQPTs poses however a major challenge. We introduce spinor Bose-Einstein condensates as a versatile platform for studies of ESQPTs. Based on the mean-field dynamics, we define a topological order parameter that distinguishes between excited-state phases, and discuss how to interferometrically access the order parameter in current experiments. Our work opens the way for the experimental characterization of excited-state quantum phases in atomic many-body systems.
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