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Non-Abelian Anyons and Topological Quantum Computation
Chetan Nayak, Steven H. Simon, Ady Stern +2
Topological quantum computation has recently emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence…
Non-Abelian Anyon Superconductivity
Waheb Bishara, Chetan Nayak
Non-Abelian Anyons exist in certain spin models and may exist in Quantuam Hall systems at certain filling fractions. In this work we studied the ground state of dynamical SU(2) lev…
Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor
Sumanta Tewari, Chuanwei Zhang, S. Das Sarma +2
A class of topological excitations -- the odd-winding-number vortices -- in a spinless 2D chiral p-wave superconductor trap Majorana fermion states in the vortex cores…
Lieb-Schultz-Mattis theorem for quasi-topological systems
Michael Freedman, Chetan Nayak, Kirill Shtengel
In this paper we address the question of the existence of a spectral gap in a class of local Hamiltonians. These Hamiltonians have the following properties: their ground states are…
No sliding in time
Kirill Shtengel, Chetan Nayak, Waheb Bishara +1
In this letter, we analyse the following apparent paradox: As has been recently proved by Hastings (cond-mat/0305505), under a general set of conditions, if a local Hamiltonian has…
A Line of Critical Points in 2+1 Dimensions: Quantum Critical Loop Gases and Non-Abelian Gauge Theory
Michael Freedman, Chetan Nayak, Kirill Shtengel
We (1) construct a one-parameter family of lattice models of interacting spins; (2) obtain their exact ground states; (3) derive a statistical-mechanical analogy which relates thei…