CAREER: Entanglement, pairing, and superfluidity at the interface between atomic and nuclear physics

Project: Research project

Description

This project will have two main aspects, distinct but interdependent: research and education.

On the research side, work will focus on the determination of entanglement properties, specifically Re´nyi and von Neumann entropies, and entanglement spectra in coordinate space, momen- tum space, harmonic-oscillator space. These calculations will aim to clarify our understanding of quantum information and its relation to special states of matter such as superfluidity, in particular in the presence of strong correlations. Fermionic and bosonic systems will be considered, in weakly to strongly interacting regimes, but focusing on universal regimes that display scale or con- formal invariance, and which are relevant both for the atomic and nuclear many-body problem. More specifically, the calculations will cover problems that are simple to formulate yet challenging to compute, such as spin-1/2 fermions with a zero-range two-body attractive interaction, in multiple dimensions. This will be accomplished by utilizing cutting edge lattice Monte Carlo (LMC) methods such as those in current use in lattice quantum chromodynamics (QCD), combined with recent algorithmic developments that enable the calculation of entanglement entropies and capi- talize on those lattice methods.

The educational activities will be centered on the interaction with faculty at the UNC-Pembroke campus (one of the most diverse in the nation), to develop a computational physics undergraduate curriculum that incorporates modern concepts in physics as well as advanced tools in computation. In this fashion, we aim to aid in the recruitment efforts at UNC-Pembroke by creating a modern and attractive computational physics environment, while simultaneously providing the basis for a long-term connection to the UNC-CH graduate program, and to the UNC-CH CAP REU program, with multiple faculty points of contact at UNC-CH.
StatusActive
Effective start/end date8/1/157/31/20

Funding

  • National Science Foundation (NSF)

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atomic physics
superfluidity
nuclear physics
methylidyne
physics
entropy
many body problem
harmonic oscillators
Monte Carlo method
invariance
education
quantum chromodynamics
fermions
interactions
momentum