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20032023
most citedQuantum phase transitions in the quasi-periodic kicked rotor

47 citations · 588 across the 44 of their papers we have counts for

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6 papers · 1 filter

nlin.CD2015★ 24 cited

Emergence of integer quantum Hall effect from chaos

Chushun Tian, Yu Chen, Jiao Wang

We present an analytic microscopic theory showing that in a large class of spin- quasiperiodic quantum kicked rotors, a dynamical analog of the integer quantum Hall ef…

nlin.CD2015★ 3 cited

Symmetry and dynamics universality of supermetal in quantum chaos

Ping Fang, Chushun Tian, Jiao Wang

Chaotic systems exhibit rich quantum dynamical behaviors ranging from dynamical localization to normal diffusion to ballistic motion. Dynamical localization and normal diffusion si…

nlin.CD2014★ 39 cited

Planck's quantum-driven integer quantum Hall effect in chaos

Yu Chen, Chushun Tian

The integer quantum Hall effect (IQHE) and chaos are commonly conceived as being unrelated. Contrary to common wisdoms, we find in a canonical chaotic system, the kicked spin-…

nlin.CD2011★ 47 cited

Quantum phase transitions in the quasi-periodic kicked rotor

Chushun Tian, Alexander Altland, Markus Garst

We present a microscopic theory of transport in quasi-periodically driven environments (`kicked rotors'), as realized in recent atom optic experiments. We find that the behavior of…

nlin.CD2010★ 33 cited

Theory of localization and resonance phenomena in the quantum kicked rotor

C. Tian, A. Altland

We present an analytic theory of quantum interference and Anderson localization in the quantum kicked rotor (QKR). The behavior of the system is known to depend sensitively on the…

nlin.CD2006★ 17 cited

The spectral form factor near the Ehrenfest-time

Piet W. Brouwer, Saar Rahav, Chushun Tian

We calculate the Ehrenfest-time dependence of the leading quantum correction to the spectral form factor of a ballistic chaotic cavity using periodic orbit theory. For the case of…