Research Interests
At this moment I am mainly interested in two fields in
condensed matterphysics -- topological phenomena and quantum
entanglement.
Topological phenomena are the phenomena which are determined by some
topological structure in the physical system, which are thus usually
universal and robust against perturbations. For example, two famous
topological phenomena are the flux quantization in superconductors and
Hall conductance quantization in the Quantum Hall states. Recent
discovery of topological insulators and topological superconductors in
different symmetry classes bring the opportunity to study a large
family of new topological phenomena. For example the three-dimensional
topological insulator provides a condensed matter realization of the
important theoretical concepts in high energy physics such as
”\theta-vacuum” and “axion”. The interplay of topological insulators
and superconductors with conventional phases of matter such as
ferromagnets and superconductors lead to richer topological phenomena.
For an intuitive introduction to topological insulators, see Qi and Zhang, Physics Today Jan
2010.
Quantum entanglement is the unique feature of quantum mechanics, which
is essential for quantum information and quantum computation. The
understanding of quantum entanglement provides a new probe to the
physical properties of the many-body systems compared to the
conventional response properties such as conductivity, spin
susceptibility, etc. On the other hand, more systematical understanding
of quantum entanglement in many-body systems may also lead to
breakthrough in building a quantum computer. It is far more difficult
to study entanglement properties in many-body systems compared to
few-body systems. There are a lot of open questions for which the
answer is not known or only known for specific systems. For example,
what is the general relation between entanglement properties and other
physical observables in a given system? What is the relation between
quantum entanglement and topological states of matter? Besides the
known description of entanglement such as von Neumann entropy, what
other measure can be defined to provide more refined characterization
of entanglement? I am pursuing these directions. For a recent work I
did along this line, click here.
Career History
- 1999-2003, Bachelor, Tsinghua
University
- 2003-2007, Ph.D., Institute
for Advanced Study, Tsinghua University
- 2007-2009, Research Associate, SLAC, Stanford University
- 2009-2010, Postdoctoral researcher, Microsoft Station Q, UCSB
- 2009-present, Assistant Professor of Physics, Stanford
University
- 2010
Sloan Research Fellowship
Teaching
- Physics 370: Theory of Many-Particle Systems
Selected Publications
1. Entanglement Entropy and
Entanglement Spectrum of the Kitaev Model, Hong Yao and Xiao-Liang
Qi, Phys. Rev. Lett. 105, 080501 (2010)
2. The quantum spin Hall
effect and topological insulators Xiao-Liang Qi and Shou-Cheng
Zhang Physics Today 63, 33-38 (2010)
3. Inducing a Magnetic Monopole with Topological Surface States,
Xiao-Liang Qi, Rundong Li, Jiadong Zang and Shou-Cheng Zhang Science
323, 1184 (2009)
4. Topological Insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with single
Dirac cone on the surface Haijun Zhang, Chao-Xing Liu, Xiao-Liang Qi,
Xi Dai, Zhong Fang, Shou-Cheng Zhang Nature Physics 5, 438 (2009)
5. Topological Field Theory
of Time-Reversal Invariant Insulators, Xiao-Liang Qi, Taylor L.
Hughes, and Shou-Cheng Zhang Phys. Rev. B 78, 195424 (2008)
6. Fractional charge and quantized current in the quantum spin Hall
state, Xiao-Liang Qi, Taylor L. Hughes, Shou-Cheng Zhang Nat. Phys. 4,
273 - 276 (2008)
7. Spin-Charge Separation in
the Quantum Spin Hall State, Xiao-Liang Qi and Shou-Cheng Zhang
Phys. Rev. Lett. 101, 086802 (2008)
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