A quantum phase transition in a quantum external field: The formation of a Schroedinger magnet

Details A quantum phase transition in a quantum external field: The formation of a Schroedinger magnet A quantum phase transition in a quantum external field: The formation of a Schroedinger magnet

2012-01-09

arxiv.org/abs/1201.1932v1

Physics

Quantum Physics

5+ pages, 4 figures

Scientific paper

We study an Ising lattice undergoing a quantum phase transition in a quantum magnetic field. Such a field can be emulated by coupling the lattice to a central spin initially in a superposition state. We show that - by adiabatically driving such a system - one can prepare a quantum superposition of any two ground states of the Ising lattice. In particular, one can end up with the Ising lattice in a superposition of ferromagnetic and paramagnetic phases - a scenario with no analogue in prior studies of quantum phase transitions. Remarkably, the resulting magnetization of the lattice encodes the position of the critical point and universal critical exponents, as well as the ground state fidelity.

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