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EDC2012 presentation

EDC2012 presentation. Dynamics of coupled cavity arrays embedded in a non- Markovian bath. Xinyu Zhao Jun Jing J. Q. You Ting Yu. Department of Physics Stevens Institute of Technology.  arXiv:1204.1708. Model and exact solution. Two-cavity example: cat-state transfer. 5.

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EDC2012 presentation

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  1. EDC2012 presentation Dynamics of coupled cavity arrays embedded in a non-Markovian bath Xinyu Zhao Jun Jing J. Q. You Ting Yu Department of Physics Stevens Institute of Technology  arXiv:1204.1708

  2. Model and exact solution Two-cavity example: cat-state transfer 5 Three-cavity example: boundary condition Outline Background: Quantum open system, QSD approach Motivation N-cavity model Summary

  3. Open System, Bosonic QSD approach System Markovian—Lindblad MEQ Non-Markovian, Quantum State Diffussion(QSD) Interaction Gaussian noise Correlation function Bosonic bath W. Strunz, L. Diosi, N. Gisin, e.g., see RPA 58, 1699; PRL 82, 1801 From the QSD equation, one can derive the exact master equation

  4. Why CV system? Why large system? In the past two years, our research mainly focus on this QSD approach, many models have been solved exactly. (3-level, 2-qubit, N-level) However, all of them are discrete system. A natural question is: What about a large (N-partite), Continuous variable (CV) system? Some examples of references on CV system: B. L. Hu, J. P. Paz and Y. Zhang, Phys. Rev. D 45, 2843 (1992). T. Yu, Phys. Rev. A 69, 062107 (2004). J. H. An and W. M. Zhang, Phys. Rev. A 76, 042127 (2007). K.-L. Liu and H.-S. Goan, Phys. Rev. A 76, 022312 (2007). C. H. Chou, T. Yu and B. L. Hu, Phys. Rev. E 77, 011112 (2008). W. M. Zhang, M. H. Wu, C. U. Lei, and H. N. Xiong, Opt. Express 18, 18407 (2010). C. H. Fleming and B. L. Hu, Ann. Phys. 327, 1238 (2012).

  5. The N-cavity model arXiv:1204.1708 where Exact Master Equation

  6. Example 1: Two-cavity case Cat state transfer Cat-like Superposition state Cavity 2 Cavity 1 No direct coupling between two cavities!! Non-Markovian Environment This cat-state transfer is induced by memory effect, and can be only observed in highly non-Markovian environment.

  7. Two types of boundary conditions In the case of 3-cavity, we have two boundary conditions. Open Boundary Condition (OBC) 3 2 1 Periodical Boundary Condition (PBC) 2 1 3

  8. Example 2: Three -cavity  arXiv:1204.1708 Different boundary conditions

  9. In OBC case 1 2 3 Standing Wave 1 3 2

  10. Example 2: Three -cavity  arXiv:1204.1708 Different boundary conditions Red (solid): Cavity 1 Green (dashed): Cavity 2 Blue (dash-dotted): Cavity 3

  11. Example 2: Three -cavity  arXiv:1204.1708 Entanglement transfer Environment Cavity 1 Entangled Cavity 2 Cavity 3 Red:Entanglement between 1-2 Green:2-3 Blue:1-3

  12. Summary Exact solution to N-cavity model (for the first time) Solving N-cavity model by QSD approach Applying QSD approach to large (N-partite),CV system Memory-effect assisted cat-state transfer Effect of boundary conditions Entanglement transfer Thanks

  13. Exact solution at finite temperature QSD Eq. at finite T O operators Exact Solutions Exact Master Equation

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