3 papers
quant-ph2020
Bloch oscillations in a Bose-Hubbard chain with single-particle losses
Bradley Longstaff, Eva-Maria Graefe
We theoretically investigate Bloch oscillations in a one-dimensional Bose-Hubbard chain, with single-particle losses from the odd lattice sites described by the Lindblad equation.…
quant-ph2019
Evolution speed of open quantum dynamics
Dorje C Brody, Bradley Longstaff
The space of density matrices is embedded in a Euclidean space to deduce the dynamical equation satisfied by the state of an open quantum system. The Euclidean norm is used to obta…
quant-ph2019
Non-adiabatic transitions through exceptional points in the band structure of a PT-symmetric lattice
Bradley Longstaff, Eva-Maria Graefe
Exceptional points, at which two or more eigenfunctions of a Hamiltonian coalesce, occur in non-Hermitian systems and lead to surprising physical effects. In particular, the behavi…