RSS icon
Twitter icon
Facebook icon
Vimeo icon
YouTube icon

Localized Majorana-like modes in a number conserving setting: An exactly solvable model

March 1, 2016 - 11:00am
Speaker: 
Sebastian Diehl
Institution: 
University of Cologne
We discuss, in a number conserving framework, an exactly solvable model of interacting fermions supporting non-local zero-energy Majorana-like edge excitations. The construction draws intuition from an approach of targeted dissipative cooling into topologically non-trivial states. The model has an exactly solvable line, on varying the density of fermions, described by a topologically non-trivial ground state wave-function. Away from the exactly solvable line we study the system by means of the numerical density matrix renormalization group. We characterize its topological properties through the explicit calculation of a degenerate entanglement spectrum, establish the presence of a gap in its single particle spectrum while the Hamiltonian is gapless, and compute the correlations between the edge modes as well as the superfluid correlations. The exactly known ground state wavefunction allows us to construct analytically number conserving braiding operators, which are exponentially localized at the edges. 
PSC 2136
College Park, MD 20742

Subscribe to A Quantum Bit 

Quantum physics began with revolutionary discoveries in the early twentieth century and continues to be central in today’s physics research. Learn about quantum physics, bit by bit. From definitions to the latest research, this is your portal. Subscribe to receive regular emails from the quantum world. Previous Issues...

Sign Up Now

Sign up to receive A Quantum Bit in your email!

 Have an idea for A Quantum Bit? Submit your suggestions to jqi-comm@umd.edu