Description
Resonantly driven many-body systems, such as a Bose-Einstein condensate of ultracold atoms, can exhibit dramatic breaking of time-translation symmetry, allowing the formation of crystalline structures in time having many tens of temporal lattice sites [1]. Such temporal structures can open new frontiers in condensed matter physics, including temporal analogues of Anderson and many-body localization, Mott insulator phases, and topologically protected edge states [2]. However, the potential practical applications of time crystalline structures are only just beginning to be explored.
Here, we present the application of time crystalline structures to ‘time-tronics’, where temporal periodic lattices behave as printed circuit boards with elements that can be arbitrarily connected and reconfigured at any moment in time via selective Bragg scattering with a pair of laser beams having tuneable momentum difference [3]. Such a temporal printed circuit board can host a broad range of quantum devices, including multi-dimensional structures and exotic configurations, as well as single-qubit operations and two-qubit controlled-Z gates, satisfying requirements for a universal quantum computer. With this system, the key problem of precise coherent transport of qubits for realizing two-qubit gates between any pair of qubits is automatically addressed and there is full connectivity of the elements of the circuit board.
For implementation, we consider ultracold potassium-39 atoms with controllable interactions bouncing back and forth in a one-dimensional box potential in the presence of a weak periodically oscillating optical lattice, where the period of the motion of the atoms is an integer multiple of the oscillation period of the lattice.
[1] K. Sacha, Phys. Rev. A 91, 033617 (2015).
[2] P. Hannaford and K. Sacha, AAPPS Bulletin 32, 12 (2022).
[3] K. Giergiel, P. Hannaford, and K. Sacha, Phys. Rev. B 112, 214316 (2025).
| I am the presenting author | Yes |
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