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S. Fölling et al., "Direct observation of second-order atom tunnelling", Nature v.448, p.1029 (2007).
Abstract: Tunnelling of material particles through a classically impenetrable barrier constitutes one of the hallmark effects of quantum physics. When interactions between the particles compete with their mobility through a tunnel junction, intriguing dynamical behaviour can arise because the particles do not tunnel independently. In single-electron or Bloch transistors, for example, the tunnelling of an electron or Cooper pair can be enabled or suppressed by the presence of a second charge carrier due to Coulomb blockade. Here we report direct, time-resolved observations of the correlated tunnelling of two interacting ultracold atoms through a barrier in a double-well potential. For the regime in which the interactions between the atoms are weak and tunnel coupling dominates, individual atoms can tunnel independently, similar to the case of a normal Josephson junction. However, when strong repulsive interactions are present, two atoms located on one side of the barrier cannot separate, but are observed to tunnel together as a pair in a second-order co-tunnelling process. By recording both the atom position and phase coherence over time, we fully characterize the tunnelling process for a single atom as well as the correlated dynamics of a pair of atoms for weak and strong interactions. In addition, we identify a conditional tunnelling regime in which a single atom can only tunnel in the presence of a second particle, acting as a single atom switch. Such second-order tunnelling events, which are the dominating dynamical effect in the strongly interacting regime, have not been previously observed with ultracold atoms. Similar second-order processes form the basis of superexchange interactions between atoms on neighbouring lattice sites of a periodic potential, a central component of proposals for realizing quantum magnetism.
I am highlighting this paper to show how difficult it is to get whole atoms to tunnel through a barrier. We constantly get questions (and hypothesis) about things like tennis balls or even a person tunneling through walls, under the pretense that since tunneling phenomena is real for single particles, then in principle, whole macroscopic objects can as well. This is a fallacy.
The requirement and the complications for whole objects to undergo quantum tunneling are astounding. Requiring that each part of the atom or each part of the object be in total coherence with each other for the whole thing to tunneling through is one almost-impossible barrier (no pun intended). As can be seen just from this experiment, other effects that are not present or not significant in single-particle tunneling will start to creep up. The nature of the barrier and what is embedded in it will play a larger role in such tunneling process. It isn't easy nor obvious that such macro object tunneling can be done. It is already this difficult for simple atoms that, in the scale of things, can be easily made to be in coherent with all of the parts within it. The same cannot be said with a tennis ball.
Zz.
Abstract: Tunnelling of material particles through a classically impenetrable barrier constitutes one of the hallmark effects of quantum physics. When interactions between the particles compete with their mobility through a tunnel junction, intriguing dynamical behaviour can arise because the particles do not tunnel independently. In single-electron or Bloch transistors, for example, the tunnelling of an electron or Cooper pair can be enabled or suppressed by the presence of a second charge carrier due to Coulomb blockade. Here we report direct, time-resolved observations of the correlated tunnelling of two interacting ultracold atoms through a barrier in a double-well potential. For the regime in which the interactions between the atoms are weak and tunnel coupling dominates, individual atoms can tunnel independently, similar to the case of a normal Josephson junction. However, when strong repulsive interactions are present, two atoms located on one side of the barrier cannot separate, but are observed to tunnel together as a pair in a second-order co-tunnelling process. By recording both the atom position and phase coherence over time, we fully characterize the tunnelling process for a single atom as well as the correlated dynamics of a pair of atoms for weak and strong interactions. In addition, we identify a conditional tunnelling regime in which a single atom can only tunnel in the presence of a second particle, acting as a single atom switch. Such second-order tunnelling events, which are the dominating dynamical effect in the strongly interacting regime, have not been previously observed with ultracold atoms. Similar second-order processes form the basis of superexchange interactions between atoms on neighbouring lattice sites of a periodic potential, a central component of proposals for realizing quantum magnetism.
I am highlighting this paper to show how difficult it is to get whole atoms to tunnel through a barrier. We constantly get questions (and hypothesis) about things like tennis balls or even a person tunneling through walls, under the pretense that since tunneling phenomena is real for single particles, then in principle, whole macroscopic objects can as well. This is a fallacy.
The requirement and the complications for whole objects to undergo quantum tunneling are astounding. Requiring that each part of the atom or each part of the object be in total coherence with each other for the whole thing to tunneling through is one almost-impossible barrier (no pun intended). As can be seen just from this experiment, other effects that are not present or not significant in single-particle tunneling will start to creep up. The nature of the barrier and what is embedded in it will play a larger role in such tunneling process. It isn't easy nor obvious that such macro object tunneling can be done. It is already this difficult for simple atoms that, in the scale of things, can be easily made to be in coherent with all of the parts within it. The same cannot be said with a tennis ball.
Zz.