By Monika Aidelsburger
This paintings studies at the new release of man-made magnetic fields with ultracold atoms in optical lattices utilizing laser-assisted tunneling, in addition to at the first Chern-number size in a non-electronic system.
It starts off with an advent to the Hofstadter version, which describes the dynamics of charged debris on a sq. lattice subjected to robust magnetic fields. This version shows power bands with non-zero topological invariants referred to as Chern numbers, a estate that's on the starting place of the quantum corridor impact. the most a part of the paintings discusses the belief of analog platforms with ultracold impartial atoms utilizing laser-assisted-tunneling innovations either from a theoretical and experimental standpoint. Staggered, homogeneous and spin-dependent flux distributions are generated and characterised utilizing two-dimensional optical super-lattice potentials. also their topological houses are studied through the remark of bulk topological currents.
The experimental options provided the following provide a special environment for learning topologically non-trivial structures with ultracold atoms.
Read Online or Download Artificial Gauge Fields with Ultracold Atoms in Optical Lattices PDF
Best nonfiction_13 books
Michael Moltenbrey's Dawn of Small Worlds: Dwarf Planets, Asteroids, Comets PDF
This publication provides an in depth advent to the millions of smaller our bodies within the sunlight procedure. Written for laymen, novice astronomers and scholars it describes the character and beginning of asteroids, dwarf planets and comets, and provides targeted information regarding their position within the sunlight process.
Get Quantization on Nilpotent Lie Groups PDF
This publication provides a constant improvement of the Kohn-Nirenberg sort worldwide quantization idea within the surroundings of graded nilpotent Lie teams when it comes to their representations. It encompasses a distinct exposition of similar heritage subject matters on homogeneous Lie teams, nilpotent Lie teams, and the research of Rockland operators on graded Lie teams including their linked Sobolev areas.
Get The Geopolitics of Europe’s Identity: Centers, Boundaries, PDF
This e-book pursues an unique point of view on Europe's transferring quantity and geopolitical status: how international locations and areas marginal to it impression on Europe as a middle. A theoretical dialogue of borders and margins is built, and set opposed to 9 experiences of nations, areas, and identities visible as marginal to Europe.
Download e-book for iPad: The Soldiers' national cemetery at Gettysburg by Bartlett, John Russell
. .. with the court cases at its consecration, on the laying of the corner-stone of the monument, and at its commitment
- Modeling Steel Deformation in the Semi-Solid State
- Local Binary Patterns: New Variants and Applications
- The Economic Impact of Leasing
- Measure for Measure by William Shakespeare
Additional resources for Artificial Gauge Fields with Ultracold Atoms in Optical Lattices
64) =: −η0 sin ωt + 2 Using the equations above we study the micro-motion for different on-site potentials ˆ m , which is fully determined by the unitary operator R(t) in Eq. 62) as shown above (Sect. 4). 1 Micro-motion Staggered Superlattice Potential The staggered superlattice potential illustrated in Fig. 1a consists of two nonequivalent lattice sites (two sectors α) with on-site potential energies that alternate 42 3 Artificial Gauge Fields with Laser-Assisted Tunneling in sign along the direction of the staggered potential micro-motion operator is determined by ˆ stagg (t) = M − m m = (−1)m /2.
Y. Hatsugai, Chern number and edge states in the integer quantum Hall effect. Phys. Rev. Lett. 71, 3697–3700 (1993) 27. Y. Hatsugai, Edge states in the integer quantum Hall effect and the Riemann surface of the Bloch function. Phys. Rev. B 48, 11851–11862 (1993) 28. -L. -S. -C. Zhang, General theorem relating the bulk topological number to edge states in two-dimensional insulators. Phys. Rev. B 74, 045125 (2006) 29. M. Aidelsburger, M. Lohse, C. Schweizer, M. T. Barreiro, S. R. Cooper, I. Bloch, N.
It has been shown that the quantization of the Hall conductance discovered by Klaus von Klitzing et al. in 1980  is directly related to an integer topological invariant known as the Chern number . In solid-state experiments the quantization of the Hall conductance σ H is observed by sending a constant current through the sample and measuring the voltage difference in the transverse direction. At low temperatures all energy bands below the Fermi energy E F are filled. 45) E μ
Artificial Gauge Fields with Ultracold Atoms in Optical Lattices by Monika Aidelsburger