Volume 130, Number 2, April 2020
|Number of page(s)||4|
|Published online||22 May 2020|
There is more than one way to host a new guest in the quantum Hilbert hotel
Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno - I-84084 Fisciano (SA), Italy and CNR-SPIN, UOS di Salerno - I-84084 Fisciano (Salerno), Italy
Received: 29 March 2020
Accepted: 13 May 2020
The Hilbert hotel is an inn with infinite rooms where even when completely full, vacancies can be created by means of suitable room switches. Interestingly, the energy levels of a bounded quantum system can mimic the rooms in the Hilbert hotel if one shows how to perform the shift in the quantum spectrum with an unlimited number of energy levels. Here, we suggest a quantum realization of the Hilbert hotel and indicate how to experimentally improve the theoretical proposal. This goal may be achieved measuring the electric conductance of many quantum wells suitably arranged.
PACS: 03.65.Ta – Foundations of quantum mechanics; measurement theory / 42.50.Dv – Quantum state engineering and measurements / 03.67.Ac – Quantum algorithms, protocols, and simulations
© EPLA, 2020
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