2018/04/30 by Masoud Mohseni, Johan Strumpfer, Marek M. Rams +1 · 15 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Hamiltonian (control theory) #Ising model #Quantum #Quantum Computing Algorithms and Architecture #Quantum annealing #Quantum discord #Quantum dissipation #Quantum many-body systems #Quantum phase transition #Quantum phases #Renormalization group #Scaling #cond-mat.dis-nn #quant-ph
paper · pdf · doi:10.1088/1367-2630/aae3ed
published in New Journal of Physics 20(10), 105002 (IOP Publishing) · 16 pages, 9 figures, minor corrections, close to the published version
openalex created_date 2018/05/07 · openalex publication_date 2018/09/25 · arxiv created 2018/10/19 · arxiv updated 2018/10/22 · openalex updated_date 2026/08/05
We introduce a phenomenological theory for many-body control of critical phenomena by engineering causally-induced gaps for quantum Hamiltonian systems. The core mechanisms are controlling information flow within and/or between clusters that are created near a quantum critical point. To this end, we construct inhomogeneous quantum phase transitions via designing spatiotemporal quantum fluctuations. We show how non-equilibrium evolution of disordered quantum systems can create new effective correlation length scales and effective dynamical critical exponents. In particular, we construct a class of causally-induced non-adiabatic quantum annealing transitions for strongly disordered quantum Ising chains leading to exponential suppression of topological defects beyond standard Kibble–Zurek predictions. Using exact numerical techniques for 1D quantum Hamiltonian systems, we demonstrate that our approach exponentially outperforms adiabatic quantum computing. Using strong-disorder renormalization group (SDRG), we demonstrate the universality of inhomogeneous quantum critical dynamics and exhibit the reconstructions of causal zones during SDRG flow. We derive a scaling relation for minimal causal gaps showing they narrow more slowly than any polynomial with increasing size of system, in contrast to stretched exponential scaling in standard adiabatic evolution. Furthermore, we demonstrate similar scaling behavior for random cluster-Ising Hamiltonians with higher order interactions.