4 papers
Pure gapped ground states of spin chains are short-range entangled
Wojciech De Roeck, Martin Fraas, Bruno de O. Carvalho
We consider spin chains with a finite range Hamiltonian. For reasons of simplicity, the chain is taken to be infinitely long. A ground state is said to be a unique gapped ground st…
Gaussian filters in quantum lattice systems: Applications to spectral flow, local perturbations, clustering, and the quantum Hall effect
Sven Bachmann, Zhiqian, Du +2
We consider the locality and spectral properties of the smearing \[ Ï_f(A) = \int_{-\infty}^\infty dt \, f(t) \, Ï_t(A) \] when applied to the dynamics of quantum spin sys…
Tensor category describing anyons in the quantum Hall effect and quantization of conductance
Sven Bachmann, Matthew Corbelli, Martin Fraas +1
In this study, we examine the quantization of Hall conductance in an infinite plane geometry. We consider a microscopic charge-conserving system with a pure, gapped infinite-volume…
Poincaré disk as a model of squeezed states of a harmonic oscillator
Ian Chi, Martin Fraas, Tina Tan
Single-mode squeezed states exhibit a direct correspondence with points on the Poincaré disk. In this study, we delve into this correspondence and describe the motions of the disk…