Quantum scaling anomalies and conformal quantum mechanics aspects in lower-dimensional ultracold gases, Unruh and Hawking radiation, and holography
Abstract
The PI is proposing to study- SO(2,1) scaling anomalies in lower-dimensional ultracold atoms; the impact of these anomalies in the holographic description of ultracold atoms; and a conformal quantum mechanics (CQM) approach to the Unruh effect (including possible anomaly effects) in ultracold atoms and quantum optics. Deeper studies of these aspects of atomic physics will not only further our fundamental understanding of the physics but will also likely impact the ability to control and manipulate these systems. The PI and collaborators recently established the precise connection between 2D quantum scaling anomalies and Tan contact term and used this connection to study aspects of thermodynamics of ultracold atoms, in particular, the virial expansion. Projects related to lower-dimensional scale-conformal symmetric gases and its symmetry breaking (explicit) and quantum anomaly effects in the dynamics of these systems (including transport and non-equilibrium properties), using the PI’s recently discovered anomaly correspondence between 1D and 2D systems are being proposed here. Further studies of the d-dx ?(x) potential, where ?(x) is the 1D Dirac delta function will be conducted, following the first results obtained by the PI and collaborators. Anomaly effects in 2D anyonic systems and similar issues for Bose-Fermi duality relations beyond the Tonks-Gireardeau and integral paradigms will be studied. Wilson’s renormalization group will be used to study the 3D-2D crossover. The holographic projects proposed here will emphasize the connection between bulk physics and 2D boundary systems and their scaling anomaly properties, and more generally, the connection between gravity-strings and condensed matter-ultracold atom systems within the framework of conformal quantum mechanics and scaling anomalies. Possible realizations of the Unruh effect in ultracold atoms and quantum optics will also be investigated.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Feb 25, 2023
- Source ID
- FA95502110017
Entities
People
- Carlos Ordonez
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of Houston System