A pair of identical Sachdev-Ye-Kitaev (SYK) models with bilinear coupling forms a quantum dual traversable wormhole, ground state close to the so called thermofield double state. We use adiabaticity arguments and numerical simulations show that character remains unchanged when interaction strengths in two SYK become imbalanced. Analysis thermodynamic dynamical quantities highlights key signatur...

We explore entanglement negativity, a measure of the distillable entanglement contained in a quantum state, in relativistic field theories in various dimensions. We first give a general overview of negativity and its properties and then explain a well known result relating (logarithmic) negativity of pure quantum states to the Rényi entropy (at index 1/2), by exploiting the simple features of e...

Non-Markovian Quantum State Diffusion (NMQSD) has turned out to be an efficient method to calculate excitonic properties of aggregates composed of organic chromophores, taking into account the coupling of electronic transitions to vibrational modes of the chromophores. NMQSD is an open quantum system approach that incorporates environmental degrees of freedom (the vibrations in our case) in a s...

We introduce a new optimization procedure for Euclidean path integrals which compute wave functionals in CFTs. We optimize the background metric in the space on which the path integration is performed. Equivalently this is interpreted as a position dependent UV cut-off. For two dimensional CFT vacua, we find the optimized metric is given by that of a hyperbolic space and we interpret this as a ...

The Hungarian physicist Eugene Wigner introduced random matrix models in physics to describe the energy spectra of atomic nuclei. As such, main goal theory (RMT) has been derive eigenvalue statistics matrices drawn from a given distribution. approach gives powerful insights into properties complex, chaotic systems thermal equilibrium. Another Hungarian, Cornelius Lanczos, suggested method reduc...

We present the gravitational action and Hamiltonian for a spatially bounded region of an eternal black hole. The Hamiltonian is of the general form H = H+ − H−, where H+ and H− are respectively the Hamiltonian for the regions M+ and M− located in the left and right wedges of the spacetime. We construct explicitly the quasilocal energy for the system and discuss its dependence on the time direct...

Recently, it was shown that there is an anomalous singularity of propagators in spacetimes with horizons for thermal states noncanonical temperatures. In this paper, I extend these observations to the situation when background geometry given by four-dimensional Schwarzschild and Reissner-Nordstr\"om black holes. Namely, demonstrate two-point function free scalar field theory acquires two points...

In the static replica symmetric approximation, the quantum Heisenberg spin-glass model with the infinite-ranged random Dzyaloshinskii-Moriya interaction in external magnetic fields is investigated in detail. The local susceptibility and the corresponding order parameters are calculated, which are in good agreement with those of thermofield calculations. The dependencies of entropy and specific ...