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Topological Thouless pumping of ultracold fermions

Shuta Nakajima, Takafumi Tomita, Shintaro Taie +5 more

arXiv:1507.02223Nature PhysicsJan 18, 2016650 citations

The Effects of Disorder on a Quasi-2D System of Ultracold Atoms

Matthew C. Beeler, Matthew Reed, Tao Hong +1 more

Bulletin of the American Physical SocietyMar 21, 20110 citations

Simulation of quantum transport in periodic and disordered systems with ultracold atoms

Laurent Sanchez-Palencia

Oct 1, 20170 citations

Interplay between disorder and topology in Thouless pumping on a superconducting quantum processor

Yu Liu, Yu-Ran Zhang, Yun‐Hao Shi +24 more

Topological phases are robust against weak perturbations, but break down when disorder becomes sufficiently strong. However, moderate disorder can also induce topologically nontrivial phases. Thouless pumping, as a (1+1)D counterpart of the integer quantum Hall effect, is one of the simplest manifestations of topology. Here, we report experimental observations of the competition and interplay between Thouless pumping and disorder on a 41-qubit superconducting quantum processor. We improve a Floquet engineering technique to realize cycles of adiabatic pumping by simultaneously varying the on-site potentials and the hopping couplings. We demonstrate Thouless pumping in the presence of disorder and show its breakdown as the strength of disorder increases. Moreover, we observe two types of topological pumping that are induced by on-site potential disorder and hopping disorder, respectively. In particular, an intrinsic topological pump that is induced by quasi-periodic hopping disorder has never been experimentally realized before. Our highly controllable system provides a valuable quantum simulating platform for studying various aspects of topological physics in the presence of disorder.Topological phases are robust against weak perturbations, but break down when disorder becomes sufficiently strong. However, moderate disorder can also induce topologically nontrivial phases. Thouless pumping, as a (1+1)D counterpart of the integer quantum Hall effect, is one of the simplest manifestations of topology. Here, we report experimental observations of the competition and interplay between Thouless pumping and disorder on a 41-qubit superconducting quantum processor. We improve a Floquet engineering technique to realize cycles of adiabatic pumping by simultaneously varying the on-site potentials and the hopping couplings. We demonstrate Thouless pumping in the presence of disorder and show its breakdown as the strength of disorder increases. Moreover, we observe two types of topological pumping that are induced by on-site potential disorder and hopping disorder, respectively. In particular, an intrinsic topological pump that is induced by quasi-periodic hopping disorder has never been experimentally realized before. Our highly controllable system provides a valuable quantum simulating platform for studying various aspects of topological physics in the presence of disorder.

arXiv:2401.01530Nature CommunicationsJan 2, 202524 citations

Chaos and disorder in dynamical ultracold atom systems

Jean Claude Garreau

Mar 14, 20150 citations

Absence of disordered Thouless pumps at finite frequency

Dominik Vuina, David M. Long, Philip J. D. Crowley +1 more

A Thouless pump is a slowly driven one-dimensional band insulator, which pumps charge at a quantized rate. Previous study showed that pumping persists in weakly disordered chains, and separately in clean chains at finite drive frequency. We study the interplay of disorder and finite frequency, and show that the pump rate always decays to zero because of nonadiabatic transitions between the instantaneous eigenstates. However, the decay is slow, occurring on a timescale that is exponentially large in the period of the drive. In the adiabatic limit, the band gap in the instantaneous spectrum closes at a critical disorder strength above which pumping ceases. We predict the scaling of the pump rate around this transition from a model of scattering between rare states near the band edges. Our predictions can be experimentally tested in ultracold atomic and photonic platforms.A Thouless pump is a slowly driven one-dimensional band insulator, which pumps charge at a quantized rate. Previous study showed that pumping persists in weakly disordered chains, and separately in clean chains at finite drive frequency. We study the interplay of disorder and finite frequency, and show that the pump rate always decays to zero because of nonadiabatic transitions between the instantaneous eigenstates. However, the decay is slow, occurring on a timescale that is exponentially large in the period of the drive. In the adiabatic limit, the band gap in the instantaneous spectrum closes at a critical disorder strength above which pumping ceases. We predict the scaling of the pump rate around this transition from a model of scattering between rare states near the band edges. Our predictions can be experimentally tested in ultracold atomic and photonic platforms.

arXiv:2401.17395Physical review. B./Physical review. BNov 4, 20242 citations

Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms

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