Macieszczak, K;
Rose, DC;
(2021)
Quantum jump Monte Carlo approach simplified: Abelian symmetries.
Physical Review A
, 103
(4)
, Article 042204. 10.1103/PhysRevA.103.042204.
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Abstract
We consider Markovian dynamics of a finitely dimensional open quantum system featuring a weak unitary symmetry, i.e., when the action of a unitary symmetry on the space of density matrices commutes with the master operator governing the dynamics. We show how to encode the weak symmetry in quantum stochastic dynamics of the system by constructing a weakly symmetric representation of the master operator: a symmetric Hamiltonian, and jump operators connecting only the symmetry eigenspaces with a fixed eigenvalue ratio. In turn, this representation simplifies both the construction of the master operator as well as quantum jump Monte Carlo simulations, where, for a symmetric initial state, stochastic trajectories of the system state are supported within a single symmetry eigenspace at a time, which is changed only by the action of an asymmetric jump operator. Our results generalize directly to the case of multiple Abelian weak symmetries.
| Type: | Article |
|---|---|
| Title: | Quantum jump Monte Carlo approach simplified: Abelian symmetries |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevA.103.042204 |
| Publisher version: | https://doi.org/10.1103/PhysRevA.103.042204 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10137947 |
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