The emergence of time from quantum interaction with the environment
- URL: http://arxiv.org/abs/2309.05159v1
- Date: Sun, 10 Sep 2023 22:30:36 GMT
- Title: The emergence of time from quantum interaction with the environment
- Authors: Sebastian Gemsheim and Jan M. Rost
- Abstract summary: We add strong support to the relational concept of time by deriving the time-dependent Schroedinger equation for a system from an energy eigenstate of the global Hamiltonian consisting of system, environment and their interaction.
Our results are consistent with concepts for the emergence of time where interaction has been taken into account at the expense of a semiclassical treatment of the environment.
- Score: 0.48951183832371004
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The nature of time as emergent for a system by separating it from its
environment has been put forward by Page and Wootters [D. N. Page and W. K.
Wootters, Phys. Rev. D 27, 2885 (1983)] in a quantum mechanical setting
neglecting interaction between system and environment. Here, we add strong
support to the relational concept of time by deriving the time-dependent
Schroedinger equation for a system from an energy eigenstate of the global
Hamiltonian consisting of system, environment and their interaction. Our
results are consistent with concepts for the emergence of time where
interaction has been taken into account at the expense of a semiclassical
treatment of the environment. Including the coupling between system and
environment without approximation adds a missing link to the relational time
approach opening it to dynamical phenomena of interacting systems and entangled
quantum states.
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