# Experimental observation of the Anderson metal-insulator transition with atomic matter waves.

@article{Chab2008ExperimentalOO, title={Experimental observation of the Anderson metal-insulator transition with atomic matter waves.}, author={Julien Chab{\'e} and Gabriel Lemari{\'e} and B. Gr{\'e}maud and Dominique Delande and Pascal Szriftgiser and Jean Claude Garreau}, journal={Physical review letters}, year={2008}, volume={101 25}, pages={ 255702 } }

We realize experimentally an atom-optics quantum-chaotic system, the quasiperiodic kicked rotor, which is equivalent to a 3D disordered system that allows us to demonstrate the Anderson metal-insulator transition. Sensitive measurements of the atomic wave function and the use of finite-size scaling techniques make it possible to extract both the critical parameters and the critical exponent of the transition, the latter being in good agreement with the value obtained in numerical simulations of…

## 277 Citations

### Observation of the Anderson metal-insulator transition with atomic matter waves: Theory and experiment

- Physics
- 2009

Using a cold atomic gas exposed to laser pulses - a realization of the chaotic quasiperiodic kicked rotor with three incommensurate frequencies - we study experimentally and theoretically the…

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We realize experimentally a cold atom system equivalent to the 3D Anderson model of disordered solids where the anisotropy can be controlled by adjusting an experimentally accessible parameter. This…

### Critical state of the Anderson transition: between a metal and an insulator.

- PhysicsPhysical review letters
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Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson…

### Phase diagram of the anisotropic Anderson transition with the atomic kicked rotor: theory and experiment

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We realize experimentally a cold-atom system, the quasiperiodic kicked rotor, equivalent to the three-dimensional Anderson model of disordered solids where the anisotropy between the x direction and…

### Experimental Observation of Two-Dimensional Anderson Localization with the Atomic Kicked Rotor.

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This work experimentally study Anderson localization in dimension 2 and shows that the localization length depends exponentially on the disorder strength and anisotropy and is in quantitative agreement with the predictions of the self-consistent theory for the 2D Anderson localization.

### Universality of the Anderson transition with the quasiperiodic kicked rotor

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- 2009

We report a numerical analysis of the Anderson transition in a quantum-chaotic system, the quasiperiodic kicked rotor with three incommensurate frequencies. It is shown that this dynamical system…

### The Anderson metal-insulator transition

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- 2016

The Anderson Localization is the phase transition from metal to insulator under a change in the amount of disorder in a material. In a first part, we introduce the scaling theory of the Anderson…

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- PhysicsPhysical Review A
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We show that quantum wavepackets exhibit a sharp macroscopic peak as they spread in the vicinity of the critical point of the Anderson transition. The peak gives a direct access to the mutifractal…

### Field theory of Anderson transition of the kicked rotor

- Physics
- 2012

We present a microscopic theory of Anderson transition in the quantum kicked rotor. The behavior of the system is shown to depend sensitively on the value of the effective Planck constant, . For the…

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