A particle ground state in the infinite square well

Brian C. Hall

Chi Zhang, Fu-Wen Shu

In this work, we examine the entanglement dynamics of two massive particles confined within their respective infinite square potential wells induced by gravity. Assuming that each particle is initially in the ground state of its infinite square well, we investigate the formation of entanglement between the particles as a result of their gravitational interaction during their adiabatic movement towards each other. Our results reveal that, under suitable parameters, entanglement swiftly emerges. Compared to previous schemes, our approach significantly reduces the particle mass, greatly lowering the experimental threshold.

Chi Zhang, Fu-Wen Shu

In this work, we examine the entanglement dynamics of two massive particles confined within their respective infinite square potential wells induced by gravity. Assuming that each particle is initially in the ground state of its infinite square well, we investigate the formation of entanglement between the particles as a result of their gravitational interaction during their adiabatic movement toward each other. Our results reveal that, under suitable parameters, entanglement swiftly emerges. Compared to previous schemes, our approach significantly reduces the particle mass, greatly lowering the experimental threshold.

I. Richard Lapidus

Shi‐Hai Dong

S.W. Doescher, Melvin H. Rice

The problem of a particle in a one-dimensional infinite square-well potential with one wall moving at constant velocity is treated by means of a complete set of functions which are exact solutions of the time-dependent Schrödinger equation. Comparison is made with a first-order perturbation treatment, and numerical results are presented for a particle initially in the ground state.