Coexistence of coherent and incoherent tunneling in asymmetric double-well potentials

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Double-well potentials are widely used to model phenomena in physics and chemistry. The system is assumed to be formed in a metastable state, its dynamical evolution providing the clues for the interpretation of the experimental data. Quantum mechanics predicts coherent oscillations of probability between wells if the double-well potential is nearly symmetric and irreversible exponential decay if the final well has an infinite width. For very asymmetric double-well potentials, these two extreme behaviors are expected to coexist. The purpose of the present paper is to investigate this coexistence and its evolution as a function of the width of (or density ... continued below

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7 p.

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Carjan, N.; Grigorescu, M. & Strottman, D. December 1, 1995.

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Double-well potentials are widely used to model phenomena in physics and chemistry. The system is assumed to be formed in a metastable state, its dynamical evolution providing the clues for the interpretation of the experimental data. Quantum mechanics predicts coherent oscillations of probability between wells if the double-well potential is nearly symmetric and irreversible exponential decay if the final well has an infinite width. For very asymmetric double-well potentials, these two extreme behaviors are expected to coexist. The purpose of the present paper is to investigate this coexistence and its evolution as a function of the width of (or density of states in) the second well. In this sense, increasing the density of states can be regarded as a mechanism for coherence breakdown. The dynamical evolution of the metastable state can be simulated by solving numerically the time-dependent Schroedinger equation (TDSE). This approach is general, intuitive, and gives access to time scales and dynamical effects. It also allows the inclusion of phenomenological dissipation.

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7 p.

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OSTI as DE96002459

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  • International symposium on quantum mechanics, Tokyo (Japan), 8 Aug 1995

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  • Other: DE96002459
  • Report No.: LA-UR--95-3415
  • Report No.: CONF-9508194--1
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 146780
  • Archival Resource Key: ark:/67531/metadc622418

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  • December 1, 1995

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  • June 16, 2015, 7:43 a.m.

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  • Feb. 29, 2016, 8:38 p.m.

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Carjan, N.; Grigorescu, M. & Strottman, D. Coexistence of coherent and incoherent tunneling in asymmetric double-well potentials, article, December 1, 1995; New Mexico. (digital.library.unt.edu/ark:/67531/metadc622418/: accessed April 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.