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NUMERICAL SIMULATION OF QUANTUM STATE REDUCTION IN BOSE–EINSTEIN CONDENSATES WITH ATTRACTIVE INTERACTIONS

SILVIA PALPACELLI

Numidia S.R.L., via Berna 31, 00144 Roma, Italy

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and

SAURO SUCCI

Istituto Per le Applicazioni del Calcolo, CNR, via dei Taurini 19, 00185 Roma, Italy

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https://doi.org/10.1142/S0129183110015385Cited by:0 (Source: Crossref)

Abstract

Following an idea first proposed by Penrose in 1996 to explain the problem of quantum state reduction as a gravitational effect, Moroz, Penrose and Tod¹ have shown that quantum state reduction due to gravitational interactions could take place in about one second for the case of 10¹¹ nucleons. However, keeping 10¹¹ nucleons together in a quantum macroscopic state does not appear to be feasible as yet. The closest physical system to such a situation is provided by Bose–Einstein condensates (BEC) with attractive interactions. We present numerical simulations of the Schrödinger–Newton equations, which show that an attractive BEC with 10³ atoms would yield a decorrelation time of the order of 10^-2 seconds. Hence, a "Penrose-like" reduction, induced by BEC attractive interaction instead of gravity, might be observable and possibly monitored in current BEC experiments with attractive interactions.

Keywords:

PACS: 04.60, 02.60, 02.70, 03.65

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