Topologically protected quantization of work
arXiv:1902.05301 · doi:10.1103/PhysRevLett.123.020601
Abstract
The transport of a particle in the presence of a potential that changes periodically in space and in time can be characterized by the amount of work needed to shift a particle by a single spatial period of the potential. In general, this amount of work, when averaged over a single temporal period of the potential, can take any value in a continuous fashion. Here we present a topological effect inducing the quantization of the average work. We find that this work is equal to the first Chern number calculated in a unit cell of a space-time lattice. Hence, this quantization of the average work is topologically protected. We illustrate this phenomenon with the example of an atom whose center of mass motion is coupled to its internal degrees of freedom by electromagnetic waves.
10 pages (including Supplemental Material), 1 figure, 1 table; closer to published version
References in corpus (28)
- Topological Insulators
- Topological insulators and superconductors
- Topological Photonics
- Classification of topological insulators and superconductors in three spatial dimensions
- Artificial gauge potentials for neutral atoms
- Light-induced gauge fields for ultracold atoms
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Lasing in topological edge states of a 1D lattice
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Observation of topologically protected bound states in a one dimensional photonic system
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
- Fermion Path Integrals And Topological Phases
- Observation of the topological Anderson insulator in disordered atomic wires
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Geometry and non-adiabatic response in quantum and classical systems
- Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
- The Insulating State of Matter: A Geometrical Theory
- Measuring topology by dynamics: Chern number from linking number
- Slow light in degenerate Fermi gases
- Topological Floquet-Thouless energy pump