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Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Detecting topological phases in cold atoms.

Xiong-Jun Liu1, K T Law, T K Ng

  • 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA and Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China and Institute for Advanced Study, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China.

Physical Review Letters
|October 8, 2013
PubMed
Summary
This summary is machine-generated.

Detecting Chern insulators in cold atoms is challenging. This study proposes measuring Bloch eigenstates at symmetric points, offering a feasible method for identifying these topological phases using spin-resolved Bloch oscillations.

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Area of Science:

  • Condensed Matter Physics
  • Cold Atom Physics
  • Topological Materials

Background:

  • Chern insulators are characterized by bulk band gaps and edge excitations.
  • Detecting Chern insulators in cold atom systems is difficult due to the impracticality of Hall transport measurements for neutral atoms.
  • Existing methods for topological phase identification are limited in cold atom experiments.

Purpose of the Study:

  • To develop a practical method for detecting Chern insulators in cold atom systems.
  • To establish a link between time-reversal invariant topological insulators and quantum anomalous Hall systems for topological characterization.
  • To introduce experimentally feasible schemes for measuring topological properties.

Main Methods:

  • Establishing a correspondence between time-reversal invariant topological insulators and quantum anomalous Hall systems.
  • Proposing the measurement of Bloch eigenstates at highly symmetric points in the Brillouin zone.
  • Introducing experimental schemes, including spin-resolved Bloch oscillations, for topological property measurement.

Main Results:

  • Demonstrated that the topology of a class of Chern insulators can be determined by measuring Bloch eigenstates at symmetric Brillouin zone points.
  • Proposed two highly feasible experimental schemes for carrying out these measurements under realistic conditions.
  • Showcased the potential of spin-resolved Bloch oscillations as a key technique.

Conclusions:

  • The proposed method provides a viable alternative to Hall transport measurements for detecting Chern insulators in cold atoms.
  • The developed experimental schemes are practical and can be implemented in current cold atom setups.
  • This work offers a powerful new tool for exploring topological phases in cold atom systems.