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A density matrix approach to the dynamical properties of a two-site Holstein model

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Abstract.

The two-site Holstein model represents a first non-trivial paradigm for the interaction between an itinerant charge with a quantum oscillator, a very common topic in different ambits. Exact results can be achieved both analytically and numerically, nevertheless it can be useful to compare them with approximate, semi-classical techniques in order to highlight the role of quantum effects. In this paper we consider the adiabatic limit in which the oscillator is slower than the electron. A density matrix approach is introduced for studying the charge dynamics and the exact results are compared with two different approximations: a Born-Oppenheimer-based Static Approximation for the oscillator (SA) and a Quantum-classical (QC) dynamics.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università dell'Aquila, via Vetoio, 67100, L'Aquila, Italy

    S. Paganelli & S. Ciuchi

  2. CRS SMC, INFM-CNR, 00100, Roma, Italy

    S. Ciuchi

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  1. S. Paganelli
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  2. S. Ciuchi
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Correspondence to S. Paganelli.

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Paganelli, S., Ciuchi, S. A density matrix approach to the dynamical properties of a two-site Holstein model. Eur. Phys. J. Spec. Top. 160, 343–352 (2008). https://doi.org/10.1140/epjst/e2008-00737-4

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