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arXiv · 2412.14886

Dynamic Realization of Majorana Zero Modes in a Particle-Conserving Ladder

Anais Defossez·Laurens Vanderstraeten·Lucila Peralta Gavensky·Nathan Goldman
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Abstract

We present a scheme to realize a topological superconducting system supporting Majorana zero modes, within a number-conserving framework suitable for optical-lattice experiments. Our approach builds on the engineering of pair-hopping processes on a ladder geometry, using a sequence of pulses that activate single-particle hopping in a time-periodic manner. We demonstrate that this dynamic setting is well captured by an effective Hamiltonian that preserves the parity symmetry, a key requirement for the stabilization of Majorana zero modes. The phase diagram of our system is determined using a bosonization theory, which is then validated by a numerical study of the topological bulk gap and entanglement spectrum using matrix product states. Our results indicate that Majorana zero modes can be stabilized in a large parameter space, accessible in optical-lattice experiments.

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Anais Defossez, Laurens Vanderstraeten, Lucila Peralta Gavensky, Nathan Goldman. 2024-12-19. Dynamic Realization of Majorana Zero Modes in a Particle-Conserving Ladder. https://arxiv.org/abs/2412.14886

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