41 citations · 114 across the 3 of their papers we have counts for
6 papers
Creating and manipulating a Laughlin-type fractional quantum Hall state on a quantum computer with linear depth circuits
Armin Rahmani, Kevin J. Sung, Harald Putterman +3
Here we present an efficient quantum algorithm to generate an equivalent many-body state to Laughlin's fractional quantum Hall state on a digitized quantum computer. Our al…
Interacting Majorana Fermions
Armin Rahmani, Marcel Franz
Majorana fermions are the real (in a mathematical sense) counterparts of complex fermions like ordinary electrons. The promise of topological quantum computing has lead to substant…
Phase diagrams of Majorana-Hubbard ladders
Armin Rahmani, Dmitry Pikulin, Ian Affleck
Models of interacting Majorana modes may be realized in vortex lattices in superconducting films in contact with topological insulators and may be tuned to the strong-interaction r…
Majorana-Hubbard model on the square lattice
Ian Affleck, Armin Rahmani, Dmitry Pikulin
We study a tight-binding model of interacting Majorana (Hermitian) modes on a square lattice. The model may have an experimental realization in a superconducting-film--topological-…
Cooling through optimal control of quantum evolution
Armin Rahmani, Takuya Kitagawa, Eugene Demler +1
Nonadiabatic unitary evolution with tailored time-dependent Hamiltonians can prepare systems of cold atomic gases with various desired properties. For a system of two one-dimension…
Optimal control for unitary preparation of many-body states: application to Luttinger liquids
Armin Rahmani, Claudio Chamon
Many-body ground states can be prepared via unitary evolution in cold atomic systems. Given the initial state and a fixed time for the evolution, how close can we get to a desired…