702 citations · 2.1k across the 58 of their papers we have counts for
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Eigenvalues and Low Energy Eigenvectors of Quantum Many-Body Systems
Ramis Movassagh
I first give an overview of the thesis and Matrix Product States (MPS) representation of quantum spin chains with an improvement on the conventional notation. The rest of this thes…
Unfrustration Condition and Degeneracy of Qudits on Trees
Matthew Coudron, Ramis Movassagh
We generalize the previous results of [1] by proving unfrustration condition and degeneracy of the ground states of qudits (d-dimensional spins) on a k-child tree with generic loca…
Condition Numbers of Indefinite Rank 2 Ghost Wishart Matrices
Ramis Movassagh, Alan Edelman
We define an indefinite Wishart matrix as a matrix of the form A=W^{T}WΣ, where Σis an indefinite diagonal matrix and W is a matrix of independent standard normals. We focus on the…
Criticality without frustration for quantum spin-1 chains
Sergey Bravyi, Libor Caha, Ramis Movassagh +2
Frustration-free (FF) spin chains have a property that their ground state minimizes all individual terms in the chain Hamiltonian. We ask how entangled the ground state of a FF qua…
Error analysis of free probability approximations to the density of states of disordered systems
Jiahao Chen, Eric Hontz, Jeremy Moix +5
Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approxim…