Using spin-echo nuclear magnetic resonance in the model transverse field Ising system TmVO4, we show that low frequency quantum fluctuations at the quantum critical point have a very different effect on 51V nuclear spins than classical low-frequency noise or fluctuations that arise at a finite temperature critical point. Spin echoes filter out the low-frequency classical noise but not the quantum fluctuations. This allows us to directly visualize the quantum critical fan and demonstrate the persistence of quantum fluctuations at the critical coupling strength in TmVO4 to high temperatures in an experiment that remains transparent to finite temperature classical phase transitions. These results show that while dynamical decoupling schemes can be quite effective in eliminating classical noise in a qubit, a quantum critical environment may lead to rapid entanglement and decoherence.
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Linear response analysis of the semiclassical approximation to spin ½ quantum electrodynamics in 1+1 dimensions
An investigation of the validity of the semiclassical approximation to quantum electrodynamics in 1 + 1 dimensions is given. The criterion for validity used here involves the impact of quantum fluctuations introduced through a two-point function which emerges naturally when considering the stability of the backreaction equation to linear order perturbations, resulting in the linear response equation. Consideration is given to the case of a spatially homogeneous electric field generated by a classical source, coupled to a quantized massive spin ½ field. Solutions to the linear response equation as well as the impact of quantum fluctuations introduced through the current density two-point correlation function are presented for two relevant electric field-to-mass parameter values qE=m^2, indicative of the strength of the backreaction process. Previous efforts utilized approximate solutions to the linear response equation that were expected to be valid for early times. A comparative analysis is given between the exact and approximate solutions in order to validate this conjecture.
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- Award ID(s):
- 2309186
- PAR ID:
- 10586037
- Publisher / Repository:
- American Physical Society
- Date Published:
- Journal Name:
- Physical Review D
- Volume:
- 111
- Issue:
- 6
- ISSN:
- 2470-0010
- Page Range / eLocation ID:
- 065019
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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