Nonlinear optical simulation of the post-Newton Schrödinger equation.

Area of Science:

• Theoretical physics
• Quantum mechanics
• General relativity

Background:

• The unification of general relativity and quantum mechanics remains a major challenge in modern physics.
• The Newton-Schrödinger equation (NSE) models quantum wavefunctions under self-gravity, offering theoretical insights.
• Previous experiments simulating nonlinear gravity were limited to Newtonian dynamics.

Purpose of the Study:

• To experimentally emulate post-Newtonian gravity dynamics, extending beyond Newtonian approximations.
• To investigate a new physical regime of nonlinearity mimicking larger gravitational masses.
• To explore the potential for simulating general relativity effects on quantum wavefunctions.

Main Methods:

• Developed and implemented an optical experiment to emulate post-Newtonian gravity.
• Probed a novel regime of nonlinearity in the context of self-gravitating wavefunctions.
• Investigated soliton solutions of the post-Newtonian-Schrödinger equations.

Main Results:

• Successfully demonstrated experimental emulation of post-Newtonian dynamics.
• Observed soliton solutions distinct from their Newtonian counterparts.
• Identified previously unconsidered nonlinear terms crucial for rich beam evolution.

Conclusions:

• The study successfully achieved experimental emulation of post-Newtonian gravity dynamics.
• The findings reveal distinct soliton solutions and necessitate new nonlinear terms.
• This work advances experimental capabilities for simulating quantum dynamics within general relativity frameworks.