Circuit complexity for free fermions
L Hackl, RC Myers - Journal of High Energy Physics, 2018 - Springer
A bstract We study circuit complexity for free fermionic field theories and Gaussian states.
Our definition of circuit complexity is based on the notion of geodesic distance on the Lie …
Our definition of circuit complexity is based on the notion of geodesic distance on the Lie …
Geometry of variational methods: dynamics of closed quantum systems
We present a systematic geometric framework to study closed quantum systems based on
suitably chosen variational families. For the purpose of (A) real time evolution,(B) excitation …
suitably chosen variational families. For the purpose of (A) real time evolution,(B) excitation …
Bosonic and fermionic Gaussian states from Kähler structures
We show that bosonic and fermionic Gaussian states (also known as" squeezed coherent
states") can be uniquely characterized by their linear complex structure $ J $ which is a …
states") can be uniquely characterized by their linear complex structure $ J $ which is a …
Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate
A bstract The rate of entropy production in a classical dynamical system is characterized by
the Kolmogorov-Sinai entropy rate h KS given by the sum of all positive Lyapunov …
the Kolmogorov-Sinai entropy rate h KS given by the sum of all positive Lyapunov …
The relation between loop quantum gravity (LQG) and tensor networks is explored from the
perspectives of the bulk-boundary duality and holographic entanglement entropy. We find …
perspectives of the bulk-boundary duality and holographic entanglement entropy. We find …
Long distance entanglement of purification and reflected entropy in conformal field theory
Quantifying entanglement properties of mixed states in quantum field theory via
entanglement of purification and reflected entropy is a new and challenging subject. In this …
entanglement of purification and reflected entropy is a new and challenging subject. In this …
Capacity of entanglement for scalar fields in squeezed states
MR Mohammadi Mozaffar - Physical Review D, 2024 - APS
We study various aspects of capacity of entanglement in the squeezed states of a scalar field
theory. This quantity is a quantum informational counterpart of heat capacity and …
theory. This quantity is a quantum informational counterpart of heat capacity and …
Entanglement production in bosonic systems: Linear and logarithmic growth
We study the time evolution of the entanglement entropy in bosonic systems with time-
independent, or time-periodic, Hamiltonians. In the first part, we focus on quadratic …
independent, or time-periodic, Hamiltonians. In the first part, we focus on quadratic …