### Abstract

Solution of free particle quantum master equation with spatial decoherence can be unravelled into stochastic quantum trajectories in many ways. The first example (Diósi, 1985) proposed a piecewise deterministic jump process for the wave function. While alternative unravellings, diffusive ones in particular, proved to be tractable analytically, the jump process 1985, also called orthojump, allows for few analytic results, it needs numeric methods as well. Here we prove that, similarly to diffusive unravellings, it is localizing the quantum state.

Original language | English |
---|---|

Pages (from-to) | 3456-3459 |

Number of pages | 4 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 381 |

Issue number | 40 |

DOIs | |

Publication status | Published - Oct 25 2017 |

### Fingerprint

### Keywords

- Decoherence
- Master equations
- Quantum trajectories
- Unravelling

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**On the earliest jump unravelling of the spatial decoherence master equation.** / Homa, Gábor; Diósi, L.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 381, no. 40, pp. 3456-3459. https://doi.org/10.1016/j.physleta.2017.08.059

}

TY - JOUR

T1 - On the earliest jump unravelling of the spatial decoherence master equation

AU - Homa, Gábor

AU - Diósi, L.

PY - 2017/10/25

Y1 - 2017/10/25

N2 - Solution of free particle quantum master equation with spatial decoherence can be unravelled into stochastic quantum trajectories in many ways. The first example (Diósi, 1985) proposed a piecewise deterministic jump process for the wave function. While alternative unravellings, diffusive ones in particular, proved to be tractable analytically, the jump process 1985, also called orthojump, allows for few analytic results, it needs numeric methods as well. Here we prove that, similarly to diffusive unravellings, it is localizing the quantum state.

AB - Solution of free particle quantum master equation with spatial decoherence can be unravelled into stochastic quantum trajectories in many ways. The first example (Diósi, 1985) proposed a piecewise deterministic jump process for the wave function. While alternative unravellings, diffusive ones in particular, proved to be tractable analytically, the jump process 1985, also called orthojump, allows for few analytic results, it needs numeric methods as well. Here we prove that, similarly to diffusive unravellings, it is localizing the quantum state.

KW - Decoherence

KW - Master equations

KW - Quantum trajectories

KW - Unravelling

UR - http://www.scopus.com/inward/record.url?scp=85028812433&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85028812433&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2017.08.059

DO - 10.1016/j.physleta.2017.08.059

M3 - Article

AN - SCOPUS:85028812433

VL - 381

SP - 3456

EP - 3459

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 40

ER -