Exact Numerical Solution of Stochastic Master Equations for Conditional Spin Squeezing
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929234175328256 |
|---|---|
| author | Zhang, ZhiQing Zhang, Yuan Guo, HaiZhong Shan, ChongXin Chen, Gang Mølmer, Klaus |
| author_facet | Zhang, ZhiQing Zhang, Yuan Guo, HaiZhong Shan, ChongXin Chen, Gang Mølmer, Klaus |
| contents | Stochastic master equations are often used to describe conditional spin squeezing of atomic ensemble, but are limited so far to the systems with few atoms due to the exponentially increased Hilbert space. In this article, we present an exact numerical solution of these equations for systems with identical atoms by mapping identical density matrix elements to a single quantity characterized by collective quantum numbers, and apply it to the system with hundred atoms in a bad cavity subject to a homodyne detection. We demonstrate that the spin squeezing can be vividly illustrated by the Gaussian-like distribution of the collective density matrix elements, and we examine the influence of the probe field strength and polarization, the detection efficiency, the spontaneous emission rate and the number of atoms. Our exact approach can play an important role in gauging the approximate approaches applied for systems with more atoms, such as Gaussian-state formalism and stochastic mean-field approach, and it permits also exploration of entanglement effects beyond these approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02495 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact Numerical Solution of Stochastic Master Equations for Conditional Spin Squeezing Zhang, ZhiQing Zhang, Yuan Guo, HaiZhong Shan, ChongXin Chen, Gang Mølmer, Klaus Quantum Physics Stochastic master equations are often used to describe conditional spin squeezing of atomic ensemble, but are limited so far to the systems with few atoms due to the exponentially increased Hilbert space. In this article, we present an exact numerical solution of these equations for systems with identical atoms by mapping identical density matrix elements to a single quantity characterized by collective quantum numbers, and apply it to the system with hundred atoms in a bad cavity subject to a homodyne detection. We demonstrate that the spin squeezing can be vividly illustrated by the Gaussian-like distribution of the collective density matrix elements, and we examine the influence of the probe field strength and polarization, the detection efficiency, the spontaneous emission rate and the number of atoms. Our exact approach can play an important role in gauging the approximate approaches applied for systems with more atoms, such as Gaussian-state formalism and stochastic mean-field approach, and it permits also exploration of entanglement effects beyond these approaches. |
| title | Exact Numerical Solution of Stochastic Master Equations for Conditional Spin Squeezing |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.02495 |