Recent Publications

Topology of superconductors beyond mean-field theory

Citation:

Matthew F Lapa. Submitted. “Topology of superconductors beyond mean-field theory.” arXiv:2003.05948 (accepted for publication in Phys. Rev. Research). Physical Review Research
Topology of superconductors beyond mean-field theory

Abstract:



The study of topological superconductivity is largely based on the analysis of mean-field Hamiltonians that violate particle number conservation and have only short-range interactions. Although this approach has been very successful, it is not clear that it captures the topological properties of real superconductors, which are described by number-conserving Hamiltonians with long-range interactions. To address this issue, we study topological superconductivity directly in the number-conserving setting.
Last updated on 04/21/2021

Analyticity of replica correlators and ETH

Analyticity of replica correlators and ETH

Abstract:

We study the two point correlation function of a local operator on an \(n\)-sheeted replica manifold corresponding to the half-space in the vacuum state of a conformal field theory. We calculate the Renyi transform in \(2d\) conformal field theories, and use it to extract the off-diagonal elements of (modular) ETH.
Last updated on 04/21/2021
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Quantum mechanics is well established as the correct and successful theory of electrons, atoms, and photons.  Yet since its inception, its non-intuitive features have perplexed and fascinated physicists.  Usually quantum phenomena are associated with atomic scales, but recent revolutionary developments demonstrate that in the right circumstances, these quantum aspects can extend to macroscopic matter. This is ultra-quantum matter (UQM), possessing robust non-local quantum entanglement, a key property and a resource. 

 

While the field of UQM originated from the study of dense matter at terrestrial temperatures, the theory that describes it unexpectedly emerges with the structure of gauge theory: the framework for describing the forces between elementary particles.  This link between gauge theory and UQM has already led to theoretical discoveries on both sides.  In the future, it might be possible to realize a novel quantum gauge theory in a tangible sample of UQM that can be held in ones hand. 

 

The goal of the Simons Collaboration on Ultra-Quantum Matter is to fully develop the theory of UQM from fundamental characterization and classification to the design for realization and testing of UQM in the lab. To achieve this, the Collaboration will bring together experts in condensed matter physics, high energy physics, quantum information and atomic physics.  The ramifications range from the discovery of new phases of matter to tabletop models for elementary particles and even quantum gravity to potentially revolutionary quantum technologies.