### Abstract

We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of (2N + 1) quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then completely parametrize the class of (2N + 1)-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain. This parametrization allows us to determine the steady-state entanglement properties of such quantum harmonic oscillator chains.

Original language | English |
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Article number | 135301 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 50 |

Issue number | 13 |

DOIs | |

Publication status | Published - 2017 Feb 28 |

### Fingerprint

### Keywords

- harmonic oscillator chain
- linear quantum systems
- local dissipation
- nearest-neighbour Hamiltonian
- pure Gaussian states
- reservoir engineering

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

### Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*50*(13), [135301]. https://doi.org/10.1088/1751-8121/aa5fbe

**Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process.** / Ma, Shan; Woolley, Matthew J.; Petersen, Ian R.; Yamamoto, Naoki.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and Theoretical*, vol. 50, no. 13, 135301. https://doi.org/10.1088/1751-8121/aa5fbe

}

TY - JOUR

T1 - Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process

AU - Ma, Shan

AU - Woolley, Matthew J.

AU - Petersen, Ian R.

AU - Yamamoto, Naoki

PY - 2017/2/28

Y1 - 2017/2/28

N2 - We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of (2N + 1) quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then completely parametrize the class of (2N + 1)-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain. This parametrization allows us to determine the steady-state entanglement properties of such quantum harmonic oscillator chains.

AB - We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of (2N + 1) quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then completely parametrize the class of (2N + 1)-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain. This parametrization allows us to determine the steady-state entanglement properties of such quantum harmonic oscillator chains.

KW - harmonic oscillator chain

KW - linear quantum systems

KW - local dissipation

KW - nearest-neighbour Hamiltonian

KW - pure Gaussian states

KW - reservoir engineering

UR - http://www.scopus.com/inward/record.url?scp=85014880574&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85014880574&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/aa5fbe

DO - 10.1088/1751-8121/aa5fbe

M3 - Article

AN - SCOPUS:85014880574

VL - 50

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 13

M1 - 135301

ER -