Adiabatic pumping in tunable anisotropic XY chains

Different routes to achieve braiding operations on potential qubits have been investigated in recent literature in the quest of fault tolerant quantum computation [1, 2]. To this end, spin systems have been emerging as promising candidates [3, 4] among others. Here we explore the possibility of braiding operations through topologically protected adiabatic pumping in similar systems [5]. As a candidate system, we take a staggered spin chain that maps to an extended version of the celebrated fermion model of Rice-Mele [6], and then search for various adiabatic pumping characters in the phase diagram of two tunable parameters that describe respectively the coupling strength and spin-anisotropy [7] in the system.

[1] Phys. Rev. X 6, 031019 (2016)

[2] Nature Phys 7, 412-417 (2011)

[3] arXiv:2110.12019 (2021)

[4] Phys. Rev. B 86, 205412 (2012)

[5] Phys. Rev. B 96, 195402 (2017)

[6] arXiv:1509.02295 (2015)

[7] Phys. Rev. B 107, 085403 (2023)