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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 3: Quantum Dynamics

MP 3.9: Talk

Monday, March 18, 2024, 18:10–18:30, HL 001

Emergent Born's statistics via colored noise driven quantum state reduction models. — •Aritro Mukherjee and Jasper van Wezel — Institute of Physics, University of Amsterdam, Science Park 904, 1098XH

While quantum mechanics successfully predicts ensemble averaged observable expectation values, unitary evolution cannot yield dynamics corresponding to a single shot projective measurement which is irreversible, stochastic and leads to one steady-state outcome. While decoherence is inherently an ensemble averaged phenomena and quantum interpretations posit no changes to the Schrodinger's unitary evolution, a possible way out are objective collapse theories which modifies the quantum evolution such that for microscopic systems, superpositions are unaffected whilst, for macroscopic systems, the quantum state is reduced to a classical mixture.

Here, I shall present a dynamical objective collapse model which derives its motivation from spontaneous symmetry breaking and its corresponding irreversibility. In particular, I will discuss a recent class of spontaneous unitarity violating models, which are driven by colored (correlated) noise and demonstrate the emergence of Born*s rules given a fluctuation-dissipation relationship holds. In such a scenario, the ensemble averaged dynamics is shown to be a Gorini-Kossakowski-Sudarshan-Lindblad master equation which also guarantees no-superluminal signaling, and this is shown for any Hilbert space dimension.

Keywords: Quantum foundations; Quantum non-equilibrium phenomena; Macroscopic quantum dynamics; Objective collapse theory