Quantum backflow for many-particle systems

Experiment-friendly formulation of quantum backflow

“…QB in systems interacting with linear potential was studied in [21]. Recently, there have been attempts at analysing QB in the relativistic setting [20,25,3], in the setting of quantum particle decay [9,13], as well as the attempts at describing quantum backflow in dissipative [22] and many-particle systems [4]. The phenomenon was extended into phase space in Ref.…”

On the experiment-friendly formulation of quantum backflow

“…We now investigate the predictions of the EF criterion (10) for the state (16). To this end, we first compute the corresponding phase-space distribution f 0 (0, p) obtained from Eq.…”

“…Thus, QB has been considered for a particle moving in the presence of linear [8] and short-range [9] potentials. It has been extended to rotational motion [10][11][12], as well as to relativistic [13][14][15] and many-particle systems [16]. The spatial extent of QB has been addressed in Refs.…”

Quantum backflow in a ring

“…It is interesting to note that c line is independent of the time window T , the particle's mass μ, or Planck's constant h. Many questions related to QB have been addressed in the literature. These include QB against a constant force [7], the pertinence of QB to the arrival-time problem [8][9][10][11], position dependence of the backflow current [5,12,13], probability backflow in relativistic quantum systems [14][15][16], QB in escape problems [17,18], and QB in many-particle systems [19]. Recently, the problem of QB has been generalized to states with position-momentum correlations [20].…”