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Ground-State Energy of A Two-Level System with Phonon Coupling

William J. Massano, Vassilios Fessatidis, Jay D. Mancini +1 more

Bulletin of the American Physical SocietyMar 15, 20060 citations

Ground state of a dissipative two-level system

Han Rongsheng, Gao Xianlong, Wang Kelin +1 more

The ground state of a two-level system coupled to a dispersionless phonon bath is studied using the coherent approximation method. The ground-state energy and the tunneling reduction factor we obtain are in good agreement with the exact values in the whole parameter space. Since the real ground-state wave functions are well simulated, some other physical information about the system, such as the interaction energy and the interaction phonon numbers in each level and the whole system, are given. The interaction phonon numbers in the two-level system are found to increase with the coupling parameter s. In the intermediate coupling region, phenomenon of the population inversion and a maximum for the interaction phonon numbers versus ${\ensuremath{\delta}}_{0}/s$ have been found. Consisting with the exact results, our results show there is no evidence of the discontinuous localization-delocalization transition.The ground state of a two-level system coupled to a dispersionless phonon bath is studied using the coherent approximation method. The ground-state energy and the tunneling reduction factor we obtain are in good agreement with the exact values in the whole parameter space. Since the real ground-state wave functions are well simulated, some other physical information about the system, such as the interaction energy and the interaction phonon numbers in each level and the whole system, are given. The interaction phonon numbers in the two-level system are found to increase with the coupling parameter s. In the intermediate coupling region, phenomenon of the population inversion and a maximum for the interaction phonon numbers versus ${\ensuremath{\delta}}_{0}/s$ have been found. Consisting with the exact results, our results show there is no evidence of the discontinuous localization-delocalization transition.

Physical review. B, Condensed matterDec 15, 20004 citations

Interaction of a 2-level system with 2D phonons

利正藤澤, T. Fujisawa

Jan 1, 20070 citations

Variational Study on a Dissipative Two-Level System

Wei-Ting Zhu, Qing-Bao Ren, Qing‐Hu Chen

A new variational approach is proposed to study the ground-state of a two-level system coupled to a dispersionless phonon bath. By the extended coherent state, where the more phonon correlations are easily incorporated, we can obtain very accurate ground state energy and the tunnelling reduction factor in all regime of tunnelling matrix element d0 and coupling parameter s. The relative difference between the present ones and those by exact numerical diagonalization is less then 0.001%. In addition, some simple analytical results are given in the limits of δ 0 /s ↠ 0 and ∞.A new variational approach is proposed to study the ground-state of a two-level system coupled to a dispersionless phonon bath. By the extended coherent state, where the more phonon correlations are easily incorporated, we can obtain very accurate ground state energy and the tunnelling reduction factor in all regime of tunnelling matrix element d0 and coupling parameter s. The relative difference between the present ones and those by exact numerical diagonalization is less then 0.001%. In addition, some simple analytical results are given in the limits of δ 0 /s ↠ 0 and ∞.

Chinese Physics LettersSep 1, 20080 citations

Stationary system of a two-level atom interacting with a single-mode phonon

Gan Qin, K. Wang, Tong-Zhong Li +2 more

Physics Letters AMar 1, 19985 citations

Ground state of a dissipative two-level system: Coupled-cluster approximation

W. H. Wong, Chi‐Fai Lo

The ground state of a two-level system coupled to a dispersionless phonon bath is studied by the coupled-cluster method. The estimates of both the ground-state energy and the tunneling reduction factor are found to be in good agreement with the exact values. It is also found that within the coupled-cluster approximation there is no indication of the discontinuous localization-delocalization transition. This is consistent with the exact result. \textcopyright{} 1996 The American Physical Society.

Physical review. B, Condensed matterNov 1, 19965 citations

Ground-state energy of a two level system with phonon coupling

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