Equilibration of isolated macroscopic quantum systems under experimentally realistic conditions

Reimann P (2012)
Physica Scripta 86(5).

Journal Article | Published | English

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Abstract
In how far does a non-equilibrium initial ensemble evolve towards a stationary long time behavior for an isolated macroscopic quantum system? We demonstrate that deviations from a steady state indeed become unmeasurably small or exceedingly rare after initial transients have died out under the following conditions: the Hamiltonian does not exhibit exceedingly large degeneracies of energy eigenvalues and energy gaps. A large number of energy levels are significantly populated by the initial ensemble. The system is observed by a measurement device with a reasonably bound working range compared to the resolution limit. The entire experiment, ending in the quantum mechanical measurement process, can only be repeated a 'reasonable' number of times. It is argued that all these prerequisites for equilibration are fulfilled under many, if not all, experimentally realistic conditions.
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Reimann P. Equilibration of isolated macroscopic quantum systems under experimentally realistic conditions. Physica Scripta. 2012;86(5).
Reimann, P. (2012). Equilibration of isolated macroscopic quantum systems under experimentally realistic conditions. Physica Scripta, 86(5).
Reimann, P. (2012). Equilibration of isolated macroscopic quantum systems under experimentally realistic conditions. Physica Scripta 86.
Reimann, P., 2012. Equilibration of isolated macroscopic quantum systems under experimentally realistic conditions. Physica Scripta, 86(5).
P. Reimann, “Equilibration of isolated macroscopic quantum systems under experimentally realistic conditions”, Physica Scripta, vol. 86, 2012.
Reimann, P.: Equilibration of isolated macroscopic quantum systems under experimentally realistic conditions. Physica Scripta. 86, (2012).
Reimann, Peter. “Equilibration of isolated macroscopic quantum systems under experimentally realistic conditions”. Physica Scripta 86.5 (2012).
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