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Krylov complexity in quantum field theory, and beyond
A bstract We study Krylov complexity in various models of quantum field theory: free massive
bosons and fermions on flat space and on spheres, holographic models, and lattice models …
bosons and fermions on flat space and on spheres, holographic models, and lattice models …
A symmetry algebra in double-scaled SYK
The double-scaled limit of the Sachdev-Ye-Kitaev (SYK) model takes the number of fermions
and their interaction number to infinity in a coordinated way. In this limit, two entangled …
and their interaction number to infinity in a coordinated way. In this limit, two entangled …
Krylov complexity in free and interacting scalar field theories with bounded power spectrum
A bstract We study a notion of operator growth known as Krylov complexity in free and
interacting massive scalar quantum field theories in d-dimensions at finite temperature. We …
interacting massive scalar quantum field theories in d-dimensions at finite temperature. We …
Krylov complexity in large q and double-scaled SYK model
A bstract Considering the large q expansion of the Sachdev-Ye-Kitaev (SYK) model in the
two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher …
two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher …
Eigenstate thermalization hypothesis and free probability
Quantum thermalization is well understood via the eigenstate thermalization hypothesis
(ETH). The general form of ETH, describing all the relevant correlations of matrix elements …
(ETH). The general form of ETH, describing all the relevant correlations of matrix elements …
Quantum dynamics in Krylov space: Methods and applications
The dynamics of quantum systems unfolds within a subspace of the state space or operator
space, known as the Krylov space. This review presents the use of Krylov subspace …
space, known as the Krylov space. This review presents the use of Krylov subspace …
Krylov complexity of modular Hamiltonian evolution
We investigate the complexity of states and operators evolved with the modular Hamiltonian
by using the Krylov basis. In the first part, we formulate the problem for states and analyze …
by using the Krylov basis. In the first part, we formulate the problem for states and analyze …
Operator growth and Krylov complexity in Bose-Hubbard model
A bstract We study Krylov complexity of a one-dimensional Bosonic system, the celebrated
Bose-Hubbard Model. The Bose-Hubbard Hamiltonian consists of interacting bosons on a …
Bose-Hubbard Model. The Bose-Hubbard Hamiltonian consists of interacting bosons on a …
Subleading weingartens
A bstract Haar integrals over the unitary group contain subleading terms that are needed for
unitarity. We study analogous effects in the time evolution operators of JT gravity and …
unitarity. We study analogous effects in the time evolution operators of JT gravity and …
A convergent genus expansion for the plateau
A bstract We conjecture a formula for the spectral form factor of a double-scaled matrix
integral in the limit of large time, large density of states, and fixed temperature. The formula …
integral in the limit of large time, large density of states, and fixed temperature. The formula …