439 citations · 1.8k across the 39 of their papers we have counts for
8 papers · 1 filter
Entanglement area law in interacting bosons from the Bose-Hubbard model to 4 theory and beyond
Donghoon Kim, Tomotaka Kuwahara
The entanglement area law is a universal principle that characterizes quantum many-body phases and underpins tensor network algorithms. Traditionally, its validity has been limited…
Clustering Theorem for Bose-Hubbard class Gibbs states
Xin-Hai Tong, Tomotaka Kuwahara, Zongping Gong
We establish the exponential clustering of correlation functions for the high-temperature Gibbs states of Bose-Hubbard type models. To overcome the technical difficulties arising f…
Quantum complexity and generalized area law in fully connected models
Donghoon Kim, Tomotaka Kuwahara
The area law for entanglement entropy captures a fundamental constraint on the complexity of quantum many-body ground states and enables their efficient description. While the area…
Provably Efficient Simulation of 1D Long-Range Interacting Systems at Any Temperature
Rakesh Achutha, Donghoon Kim, Yusuke Kimura +1
We introduce a method that ensures efficient computation of one-dimensional quantum systems with long-range interactions across all temperatures. Our algorithm operates within a qu…
Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
Tomotaka Kuwahara
Recent investigations have unveiled exotic quantum phases that elude characterization by simple bipartite correlation functions. In these phases, long-range entanglement arising fr…
Symmetry-enhanced Lieb-Robinson bounds for a class of Bose-Hubbard type Hamiltonians
Tomotaka Kuwahara, Marius Lemm
Several recent works have derived Lieb-Robinson bounds (LRBs) for Bose-Hubbard-type Hamiltonians. For certain structured initial states, e.g., vacuum perturbations or near-stationa…
Thermal Area Law in Long-Range Interacting Systems
Donghoon Kim, Tomotaka Kuwahara, Keiji Saito
The area law of the bipartite information measure characterizes one of the most fundamental aspects of quantum many-body physics. In thermal equilibrium, the area law for the mutua…
Clustering theorem in 1D long-range interacting systems at arbitrary temperatures
Yusuke Kimura, Tomotaka Kuwahara
This paper delves into a fundamental aspect of quantum statistical mechanics -- the absence of thermal phase transitions in one-dimensional (1D) systems. Originating from Ising's a…