1 code implementation • 3 Jun 2021 • Francisco Vargas, Pierre Thodoroff, Neil D. Lawrence, Austen Lamacraft
The Schr\"odinger bridge problem (SBP) finds the most likely stochastic evolution between two probability distributions given a prior stochastic evolution.
no code implementations • 26 Nov 2019 • Beñat Mencia Uranga, Austen Lamacraft
Our model takes the form of a stochastic Schr\"odinger equation describing the continuous time measurement of a quantum system, and is equivalent to the continuous Matrix Product State (cMPS) representation of wavefunctions in one dimensional many-body systems.
no code implementations • 11 Jun 2019 • Roberto Bondesan, Austen Lamacraft
The solution of problems in physics is often facilitated by a change of variables.
1 code implementation • 30 Jan 2018 • B. Mencia Uranga, Austen Lamacraft
The energy governing the alignment of molecules on a triangular lattice is found to correspond to that of an infinite system of 2D quadrupoles, which may be written in terms of an elliptic function $\mathcal{Q}(z_{ij};\omega_1 , \omega_2 )$.
Quantum Gases