TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.4.081
TI  - Interpolating between the gauge and Schrödinger pictures of quantum dynamics
PY  - 2023/11/24
UR  - https://scipost.org/SciPostPhysCore.6.4.081
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 4
SP  - 081
A1  - Guha Roy, Sayak
AU  - Slagle, Kevin
AB  - Although spatial locality is explicit in the Heisenberg picture of quantum dynamics, spatial locality is not explicit in the Schrödinger picture equations of motion. The gauge picture is a modification of Schrödinger's picture such that locality is explicit in the equations of motion. In order to achieve this explicit locality, the gauge picture utilizes (1) a distinct wavefunction associated with each patch of space, and (2) time-dependent unitary connections to relate the Hilbert spaces associated with nearby patches. In this work, we show that by adding an additional spatially-local term to the gauge picture equations of motion, we can effectively interpolate between the gauge and Schrödinger pictures, such that when this additional term has a large coefficient, all of the gauge picture wavefunctions approach the Schrödginer picture wavefunction (and the connections approach the identity).
ER  -

@Article{10.21468/SciPostPhysCore.6.4.081,
	title={{Interpolating between the gauge and Schrödinger pictures of quantum dynamics}},
	author={Sayak Guha Roy and Kevin Slagle},
	journal={SciPost Phys. Core},
	volume={6},
	pages={081},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.4.081},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.4.081},
}