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Bloch Oscillations Along a Synthetic Dimension of Atomic Trap States
Christopher Oliver, Aaron Smith, Thomas Easton +5
Synthetic dimensions provide a powerful approach for simulating condensed matter physics in cold atoms and photonics, whereby a set of discrete degrees of freedom are coupled toget…
Superfluid Vortices in Four Spatial Dimensions
Ben McCanna, Hannah M. Price
Quantum vortices in superfluids have been an important research area for many decades. Naturally, research on this topic has focused on two and three-dimensional superfluids, in wh…
Topological quantum matter in synthetic dimensions
Tomoki Ozawa, Hannah M. Price
In the field of quantum simulation of condensed matter phenomena by artificially engineering the Hamiltonian of an atomic, molecular or optical system, the concept of `synthetic di…
Four-dimensional topological lattices through connectivity
Hannah M. Price
Thanks to recent advances, the 4D quantum Hall (QH) effect is becoming experimentally accessible in various engineered set-ups. In this paper, we propose a new type of 4D topologic…
Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
Michael Lohse, Christian Schweizer, Hannah M. Price +2
The discovery of topological states of matter has profoundly augmented our understanding of phase transitions in physical systems. Instead of local order parameters, topological ph…
Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
Hannah M. Price, Tomoki Ozawa, Nathan Goldman
We introduce a simple scheme to implement synthetic dimensions in ultracold atomic gases, which only requires two basic and ubiquitous ingredients: the harmonic trap, which confine…
Measurement of Chern numbers through center-of-mass responses
H. M. Price, O. Zilberberg, T. Ozawa +2
Probing the center-of-mass of an ultracold atomic cloud can be used to measure Chern numbers, the topological invariants underlying the quantum Hall effects. In this work, we show…
Four-Dimensional Quantum Hall Effect with Ultracold Atoms
Hannah M. Price, Oded Zilberberg, Tomoki Ozawa +2
We propose a realistic scheme to detect the 4D quantum Hall effect using ultracold atoms. Based on contemporary technology, motion along a synthetic fourth dimension can be accompl…
How to directly observe Landau levels in driven-dissipative strained honeycomb lattices
Grazia Salerno, Tomoki Ozawa, Hannah M. Price +1
We study the driven-dissipative steady-state of a coherently-driven Bose field in a honeycomb lattice geometry. In the presence of a suitable spatial modulation of the hopping ampl…
Artificial Magnetic Fields in Momentum Space in Spin-Orbit Coupled Systems
Hannah M. Price, Tomoki Ozawa, Nigel R. Cooper +1
The Berry curvature is a geometrical property of an energy band which can act as a momentum space magnetic field in the effective Hamiltonian of a wide range of systems. We apply t…
Momentum-space Harper-Hofstadter model
Tomoki Ozawa, Hannah M. Price, Iacopo Carusotto
We show how the weakly trapped Harper-Hofstadter model can be mapped onto a Harper-Hofstadter model in momentum space. In this momentum-space model, the band dispersion plays the r…
Quantum Mechanics with a Momentum-Space Artificial Magnetic Field
Hannah M. Price, Tomoki Ozawa, Iacopo Carusotto
The Berry curvature is a geometrical property of an energy band which acts as a momentum space magnetic field in the effective Hamiltonian describing single-particle quantum dynami…
Effects of Berry Curvature on the Collective Modes of Ultracold Gases
Hannah M. Price, Nigel R. Cooper
Topological energy bands have important geometrical properties described by the Berry curvature. We show that the Berry curvature changes the hydrodynamic equations of motion for a…
Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
H. M. Price, N. R. Cooper
We propose a general method by which experiments on ultracold gases can be used to determine the topological properties of the energy bands of optical lattices, as represented by t…
Skyrmion-antiSkyrmion pairs in Ultracold Atomic Gases
H. M. Price, N. R. Cooper
We study theoretically the dynamics of two-component Bose-Einstein condensates in two dimensions, which admit topological excitations related to the Skyrmions of nuclear physics. W…