Back to Search
Start Over
Bloch state tomography using Wilson lines
- Source :
- Science
- Publication Year :
- 2015
-
Abstract
- Topology and geometry are essential to our understanding of modern physics, underlying many foundational concepts from high energy theories, quantum information, and condensed matter physics. In condensed matter systems, a wide range of phenomena stem from the geometry of the band eigenstates, which is encoded in the matrix-valued Wilson line for general multi-band systems. Using an ultracold gas of Rb atoms loaded in a honeycomb optical lattice, we realize strong-force dynamics in Bloch bands that are described by Wilson lines and observe an evolution in the band populations that directly reveals the band geometry. Our technique enables a full determination of band eigenstates, Berry curvature, and topological invariants, including single- and multi-band Chern and $Z_2$ numbers.<br />5+9 pages, final ublished version
- Subjects :
- FOS: Physical sciences
01 natural sciences
010305 fluids & plasmas
quant-ph
Quantum mechanics
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
0103 physical sciences
cond-mat.mes-hall
Quantum information
010306 general physics
Topology (chemistry)
Eigenvalues and eigenvectors
Mathematical physics
Physics
Condensed Matter::Quantum Gases
Optical lattice
Quantum Physics
Multidisciplinary
Condensed Matter - Mesoscale and Nanoscale Physics
Honeycomb (geometry)
3. Good health
Condensed Matter - Other Condensed Matter
Quantum Gases (cond-mat.quant-gas)
cond-mat.other
Line (geometry)
Berry connection and curvature
Quantum Physics (quant-ph)
Condensed Matter - Quantum Gases
cond-mat.quant-gas
Other Condensed Matter (cond-mat.other)
Bloch wave
Subjects
Details
- ISSN :
- 10959203, 15390756, 10797114, 10502947, 00280836, 00368075, 17452473, 0066426X, 01631829, and 00319333
- Volume :
- 352
- Issue :
- 6289
- Database :
- OpenAIRE
- Journal :
- Science (New York, N.Y.)
- Accession number :
- edsair.doi.dedup.....cc4cd5c8d5b6abf25efdde82df364762