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

Silvia Palpacelli () and Sauro Succi ()
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Silvia Palpacelli: Numidia S.R.L., via Berna 31, 00144 Roma, Italy
Sauro Succi: Istituto Per le Applicazioni del Calcolo, CNR, via dei Taurini 19, 00185 Roma, Italy

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 05, 629-646

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 Tod1have shown that quantum state reduction due to gravitational interactions could take place in about one second for the case of 1011nucleons. However, keeping 1011nucleons 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 103atoms would yield a decorrelation time of the order of 10-2seconds. 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: Quantum state reduction; Schrödinger–Newton equations; Bose–Einstein condensates; 04.60; 02.60; 02.70; 03.65 (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015385

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