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A quantum phase transition in a quantum external field: Superposing two magnetic phases

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  • We study an Ising chain undergoing a quantum phase transition in a quantum magnetic field. Such a field can be emulated by coupling the chain 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 chain. In particular, one can end up with the Ising chain 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 chain encodes the position of the critical point and universal critical exponents, as well as the ground state fidelity.
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  • Rams, M. M., Zwolak, M., & Damski, B. (2012). A quantum phase transition in a quantum external field: Superposing two magnetic phases. Scientific Reports, 2, 655. doi: 10.1038/srep00655
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  • 2
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  • This work is supported by U.S. Department of Energy through the LANL/LDRD Program.MMR acknowledges support from the FWF SFB grant F4014.
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