Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Engineering non-equilibrium quantum phase transitions via causally
  gapped Hamiltonians   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 spatio-temporal
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 outperform adiabatic quantum computing. Using
Strong-Disorder Renormalization Group (SDRG), we demonstrate the universality
of inhomogeneous quantum critical dynamics and exhibit the causal zones
reconstructions 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 behaviour for
random cluster-Ising Hamiltonians with higher order interactions.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th