Activities
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Seminars
Seminar on Theoretical and Computational Physics:
| Title | The Interacting Mesoscopic Capacitor: from the quantum RC-circuit to out-of-equilibrium charge emission
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Speaker | Dr. Michele Filippone
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Affiliation | Université de Genève
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Date | Friday, 11-08-2017
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Time | 10:30 AM
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Location | Room 202 (Library), Institute of Physics, 10 Dao Tan, Ba Dinh, Hanoi
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Abstract | The mesoscopic capacitor was realized for the first time at the Laboratoire Pierre Aigrain (LPA) of Paris in 2006. Since then, it revealed a formidable platform to achieve the triggered emission of single electrons and realize highly controlled quantum optics experiments with electrons in solid state devices. I will discuss the main challenges concerning the theoretical description of this system and go beyond the quantum RC-circuit analogy by describing the full non-equilibrium response of a mesoscopic capacitor in the large transparency limit, exactly solving a model with electron-electron interactions appropriate for a cavity in the quantum Hall regime. For a cavity coupled to the electron reservoir via an ideal point contact, we show that the response to any time-dependent gate voltage V_g(t) is strictly linear in V_g. We analyze the charge and current response to a sudden gate voltage shift, and find that this response is not captured by a simple circuit analogy. In particular, in the limit of strong interactions a sudden change in the gate voltage leads to the emission of a sequence of multiple charge pulses, the width and separation of which are controlled by the charge-relaxation time τ_c=hC_g/e^2 and the time of flight τ_f. We also consider the effect of a finite reflection amplitude in the point contact, which leads to non-linear-in-gate-voltage corrections to the charge and current response.
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Host person | Nguyễn Thị Kim Thanh
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