Spin-Peierls Quantum Phase Transitions in Coulomb Crystals
arXiv:1201.6671 · doi:10.1103/PhysRevLett.109.010501
Abstract
The spin-Peierls instability describes a structural transition of a crystal due to strong magnetic interactions. Here we demonstrate that cold Coulomb crystals of trapped ions provide an experimental testbed in which to study this complex many-body problem and to access extreme regimes where the instability is triggered by quantum fluctuations alone. We present a consistent analysis based on different analytical and numerical methods, and provide a detailed discussion of its feasibility on the basis of ion-trap experiments. Moreover, we identify regimes where this quantum simulation may exceed the power of classical computers.
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Cited by in corpus (20)
- Long-range interacting quantum systems
- Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
- Controlling and measuring quantum transport of heat in trapped-ion crystals
- Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
- Adiabatic quantum metrology with strongly correlated quantum optical systems
- Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
- Quantum sensors for the generating functional of interacting quantum field theories
- Properties of the random-singlet phase: from the disordered Heisenberg chain to an amorphous valence-bond solid
- Generalized Moment Method for Gap Estimation and Quantum Monte Carlo Level Spectroscopy
- Ab-initio characterization of the quantum linear-zigzag transition using DMRG
- Two-dimensional spectroscopy for the study of ion Coulomb crystals
- Simulation of Jahn-Teller-Dicke Magnetic Structural Phase Transition with Trapped Ions
- Generic ordering of structural transitions in quasi-one-dimensional Wigner crystals
- Quantum Transport of Energy in Controlled Synthetic Quantum Magnets
- Mesoscopic mean-field theory for spin-boson chains in quantum optical systems
- Structural transitions of nearly second order in classical dipolar gases
- Quantum simulation of superexchange magnetism in linear ion crystals
- Effective spin physics in two-dimensional cavity QED arrays
- Long-range Ising interactions mediated by fields: probing the renormalisation of sound in crystals of trapped ions
- Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the model