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Reduction of the system dynamics from the total system including the environments

This study explores the origins of width in response function line shapes in low-dimensional quantum spin systems, specifically focusing on the temperature-dependence of the shift and width. The University of Tokyo's Seiji Miyashita leads the research.

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Reduction of the system dynamics from the total system including the environments

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  1. 10 Aug. 2010 Kyoto Yukawa Reduction of the system dynamics from the total system including the environments The University of Tokyo Seiji Miyashita

  2. Projection operator method

  3. For the master equation

  4. Real part

  5. Phonon Bottleneck phenomenain V15 Plateau induced by thermal effect sample Heat flow Heat bath Chiorescu, W. Wernsdorfer, A. Mueller, H. Boegge, B. Barbara, Phys. Rev. Lett. 84 (2000) 3454.

  6. Field sweeping with thermal bath Fast sweeping Slow sweeping Magnetic Foehn Effect LZS K. Saito & SM. JPSJ (2001) 3385.

  7. Fe-rings Fe2 Y. Shapira, et al PRB59 (1999) 1046 Y. Ajiro & Y. Inagaki Y. Narumi & K. Kindo H. Nakano & SM, JPSJ 70(2001) 2151

  8. Fast Magnetization Tunneling in Tetranicke(II) SMM [Ni(hmp)(dmb)Cl]4 v=0.0512, ...., 0.0002 V=0.002, ..... , 0.28T/s En-Che Yang,et al: Inorg. Chem. 45 (2006) 529

  9. Boson system

  10. Spin-boson system from QMEnote (SM and T. Mori)

  11. Relation between the equation of motion and its steady solution Equation of motion up to the second order (a situational solution) we may add any traceless W The diagonal elements are arbitrary in the order of Master equation leads the system to the equilibrium of the system The off-diagonal elements aredetermined in the order of T. Mori and SM: JPSJ 77 (2008) 124005 (1-9). Complex admittance C. Uchiyama, M. Aihara, M. Saeki and S. Miyashita: PRE 80 (2009) 021128 (1-18). M. Saeki, C. Uchiyama, T. Mori and S. Miyashita: PRE 81, (2010) 031131 (1-33)

  12. 10 Aug. 2010 Kyoto Yukawa Study on the line shapes of the response function--Origins of the Width-- The University of Tokyo Seiji Miyashita

  13. ESR line shape in strongly interacting spin systems Temperature-dependence of the shift and width in low-dimensional quantum spin systems Spin trimer: 3CuCl2 ・2Dioxane AF F F (S=1/2)x3 paramagnetic EPR S=3/2 correlated state Y. Ajiro, et al: JPSJ 63 (1994) 859.

  14. Shift and width of the line shape Intrinsic width due to assembly of the delta-functions Quantum broadening due to quantum fluctuation of the field Transmission spectrum (input-output modes) Broadening width due to the interaction with the thermal bath

  15. Microscopic expression of the line shape fromthe Hamiltonian of the system R. Kubo & K.Tomita JPSJ (1954) 888. Kubo formula R. Kubo: JPSJ 12 (1957) 570. Isotropic models (Paramagnetic Resonance) Perturbation

  16. Expression of the admittance Eigenvalue and eigenvectors of the Hamiltonian shift width

  17. Nagata-Tazuke effect K.Nagata and Y.Tazuke, JPSJ 32(1972)337. (J. Kanamori & M.Tachiki : JPSJ 48 (1962) 50) One-dimensional Heisenberg antiferromagnet

  18. Demonstration of the Nagata-Tazuke effects N=8 R.E. Dietz, et al. PRL 26 (1971) 1186. T.T. Cheung, et al. PRB 17 (1978) 1266 SM, T. Yoshino, A. Ogasahara: JPSJ 68 (1999) 655.

  19. Line shape of a spin chane with a staggered DM interaction S. El Shawish, O. Cepas, and SM: PRB81, 224421 (2010).

  20. Line shape of a spin chain with a staggered DM interaction cf. S. El Shawish, O. Cepas, and SM: PRB81, 224421 (2010).

  21. Models Staggered DM model XXZ model Equivalence Difference

  22. Consideration on the line shape relaxation time moments of

  23. Memory function (short time)

  24. Memory function (long time)

  25. Double peak structure

  26. Estimated line shape in infinite chain Exact short range + spin diffusion long time tail with various cut-off times (tau_0,tau_c)

  27. Shift and width of the line shape Intrinsic width due to assembly of the delta-functions Quantum broadening due to quantum fluctuation of the field Transmission spectrum (input-output modes) Broadening width due to the interaction with the thermal bath

  28. Coupling between spin system and cavity phonon system Spin system Cavity photon system Coupling Transmission

  29. Coupling between spin system and cavity phonon system Spin system Cavity photon system Coupling Transmission

  30. Enhancement of Rabi-oscillation and the vacuum-field Rabi splitting Enhancement of Rabi-oscillation Y. Kaluzny, P. G. , M. Gross, J. M. Raimond and S. Haroche, PRL 51, 1175 (1983) The vacuum-field Rabi splitting in the transmission spectrum G. S. Agarwal:, PRL 53, 1732 (1984).

  31. Splitting of PMR of DPPH The vacuum-field Rabi-splitting G. S. Agarwal:, PRL 53, 1732 (1984). DPPH I. Chiorescu, N. Groll, S. Bertaina, T. Mori and SM: PRB (2010) in press. (1004.3605)

  32. N-diamond arXiv 1006.0251

  33. arXiv 1006.0242 Rubby S=3/2 Cr3+

  34. Multi-photon effect N=nmax Super-radiance? ( , 0) ... ( , 1) ... ( , N) ... At N=nmax, a wide distribution of the Rabi frequences nmax: number of cavity photons in the ground state of spin system

  35. Eigenvalues and the transmission spectrum The vacuum-field Rabi-splitting G. S. Agarwal:, PRL 53, 1732 (1984).

  36. Photon emission spectrum

  37. Shift and width of the line shape Intrinsic width due to assembly of the delta-functions Quantum broadening due to quantum fluctuation of the field Transmission spectrum (input-output modes) Broadening width due to the interaction with the thermal bath

  38. Line shape of the transmission

  39. Thermal bath method

  40. Transmission in a steady state j-1 j j+1 j=0

  41. Input-output formulation

  42. Shift and width of the line shape Intrinsic width due to assembly of the delta-functions Quantum broadening due to quantum fluctuation of the field Transmission spectrum (input-output modes) Broadening width due to the interaction with the thermal bath C. Uchiyama, M. Aihara, M. Saeki and S. Miyashita: PRE 80 (2009) 021128.

  43. Summary Explicit expression of the the spectrum line shape: Quantum broadening due to quantum fluctuation of the field Transmission spectrum (steady flow method) vs Broadening width due to the interaction with the thermal bath Line shale of a ring Heisenberg model with DM interaction Coupling of spin system and cavity photons

  44. Thank you very much

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