253 citations · 8.7k across the 368 of their papers we have counts for
369 papers
Resource and entanglement study of a hybrid qudit-qubit quantum algorithm for solving the integer programming problem
Kapil Goswami, Rick Mukherjee, Peter Schmelcher
Recently, a hybrid qudit-qubit algorithm [1] was presented for solving the integer programming problem with a polynomial quantum advantage. In this work, we investigate the algorit…
Degenerate subspace localization and local symmetries
Peter Schmelcher
Domain specific localization of eigenstates has been a persistent observation for systems with local symmetries. The underlying mechanism for this localization behaviour has howeve…
Synthetic dimension-induced pseudo Jahn-Teller effect in one-dimensional confined fermions
André Becker, Georgios M. Koutentakis, Peter Schmelcher
We demonstrate the failure of the adiabatic Born-Oppenheimer approximation to describe the ground state of a quantum impurity within an ultracold Fermi gas despite substantial mass…
Solving optimization problems with local light shift encoding on Rydberg quantum annealers
Kapil Goswami, Rick Mukherjee, Herwig Ott +1
We provide a non-unit disk framework to solve combinatorial optimization problems such as Maximum Cut (Max-Cut) and Maximum Independent Set (MIS) on a Rydberg quantum annealer. Our…
Scaled Tight-Binding Crystal
Peter Schmelcher
The concept of local symmetry dynamics has recently been used to demonstrate the evolution of discrete symmetries in one-dimensional chains leading to emergent periodicity. Here we…
Excited state preparation of trapped ultracold atoms via swept potentials
Daniel J. Bosworth, Maxim Pyzh, Peter Schmelcher
We study the out-of-equilibrium dynamics of non-interacting atoms confined within a one-dimensional harmonic trap triggered by dragging an external long-range potential through the…