Dynamics of Classical and Quantum Particles in Constant-Linear-Acceleration Frames

Rhombik Roy, Ofir E. Alon

Bosonic Josephson junctions provide a versatile platform for exploring quantum tunneling and coherence phenomena in ultracold atomic systems. While extensive research has examined the Josephson-junction dynamics in various double-well configurations, most studies have been limited to inertial reference frames. In the present work we pose the question how placing a Josephson junction in a noninertial reference frame would impact the quantum tunneling. Our findings demonstrate that accelerating a Josephson junction alters the tunneling dynamics. Conversely, tunneling behavior can be used to assess the acceleration of the system. By analyzing the changes in physical properties, we can assess the acceleration of the double well. We begin with the most simple noninertial frame: moving with constant acceleration. The tunneling time decreases exponentially as acceleration increases, making it effective for measuring larger accelerations. However, for smaller accelerations, accurate assessment requires accounting for many-body depletion, which decreases linearly as acceleration rises. Next we explore a more complex scenario where the acceleration is time dependent. In this case, the acceleration is mapped onto the tunneling time period and depletion, which again serve as predictors of acceleration. We also explore how the tunneling time and condensate depletion are affected by changes in the interparticle interaction. We go further by conducting a detailed analysis of the change in tunneling dynamics when the system deviates from constant or zero acceleration. The quantitative analysis shows that the depletion changes exponentially near constant acceleration, while around zero acceleration, the change follows a polynomial pattern. A comprehensive analysis of the effects of damped motion on the condensate depletion is performed as well. All in all, we quantify how the tunneling process and the mean-field and many-body properties evolve in a noninertial system of increasing complexity.

Javed Akram, Khalid Naseer, Inam ur Rehman +1 more

Cold Atoms bouncing on modulated atomic mirror exhibits acceleration and dynamical localization subject to modulated strength. We explain characteristics of acceleration and define control parameters in terms of effective Planck′s constant. We show that the effective Planck′s constant plays a vital role in limiting classical‐like overall linear growth of the variance of accelerated atoms with time. For large values of the effective Planck′s constant the atomic quantum acceleration is seized as localization window overlaps the accelerated window.

Ronald E. Mickens

R. M. Angelo, A D Ribeiro

From the principle that there is no absolute description of a physical state, we advance the approach according to which one should be able to describe the physics from the perspective of a quantum particle. The kinematics seen from this frame of reference is shown to be rather unconventional. In particular, we discuss several subtleties emerging in the relative formulation of central notions, such as vector states, the classical limit, entanglement, uncertainty relations and the complementary principle. A Hamiltonian formulation is also derived which correctly encapsulates effects of fictitious forces associated with the accelerated motion of the frame. Our approach shows, therefore, how to formulate nonrelativistic quantum mechanics within noninertial reference frames which can be consistently described by the theory, with no appeal to classical elements.

Ciaran P. Ryan