239 papers
This paper introduces a hybrid stochastic method that achieves exact tensor network contraction by sampling loop corrections to Belief Propagation via Markov chain Monte Carlo, thereby eliminating systematic errors on loopy graphs while providing unbiased estimates with controllable statistical error across all parameter regimes.
This paper argues that in interacting quantum field theories at finite density, the derivative of entanglement entropy with respect to subregion size converges to the thermal entropy density in the large-subregion limit, thereby establishing a universal link between entanglement and thermodynamics that allows for the extraction of equation-of-state information, as demonstrated nonperturbatively in the three-dimensional O(4) model.
This companion paper details the geometric and computational framework behind numerical solutions to the spherical grasshopper problem, analyzing optimal lawn configurations and their significance for approximating quantum singlet correlations through spherical harmonics and connections to geometric probability.
This paper demonstrates that the finite-temperature critical transverse-field Ising chain exhibits quantitative signatures of black-hole physics, such as universal antipodal transport, exponential relaxation via quasi-normal modes, and a Hawking-Page-like entropy minimum, thereby establishing it as an experimentally accessible platform for probing quantum black hole dynamics within the AdS/CFT correspondence.
This paper investigates non-Hermitian quasiperiodic localization transitions using semiclassical Husimi dynamics and finds that, unlike their Hermitian counterparts, the critical points do not universally align with classical phase-space predictions due to a sensitive dependence on the irrational parameter, though a faithful classical-quantum mimicry can still be achieved within specific parameter regimes and finite time windows.
This paper systematically investigates quantum phase transitions in sub-Ohmic spin-boson systems with three competing terms using variational calculations, revealing a rich phase diagram that includes a novel U(1)-symmetric phase and a multi-stage transition sequence at low tunneling strengths, thereby extending beyond conventional spin-boson physics.
This paper derives the exact solution for a two-dimensional Ising model with next-nearest-neighbor interactions at zero magnetic field by adapting 3D Ising methods to analyze transfer matrices in multiple representations, ultimately obtaining the partition function and spontaneous magnetization to demonstrate how increased interactions and topological contributions elevate the critical point.
This paper presents an exact solution for the ground states of the Ising model with three-spin interactions on a triangular ladder at fixed magnetization by reformulating the problem as a linear program, revealing a phase diagram that includes periodic, phase-separated, and ordered aperiodic states, while showing that treating magnetization as a free parameter restricts the ground states to specific periodic configurations.
This paper presents a generalized Langevin framework to model the averaged velocity modulus of self-propelled spherical and disk-shaped Brownian particles in a harmonic potential, revealing that while an internal Ornstein-Uhlenbeck mechanism induces spontaneous velocity fluctuations, these effects diminish over time as the system evolves.
This paper establishes a rigorous mathematical framework for hybrid classical-quantum systems by deriving their microcanonical ensemble via a maximum entropy principle, demonstrating its well-defined nature for continuous energy values and its consistency with the canonical ensemble, while validating the theory through a toy model.
Using molecular dynamics simulations, this study demonstrates that the collapse of extended polymers exhibits scale-free cluster-cluster aggregation with universal dynamic scaling, where the growth exponent remains constant () across varying bending stiffness, while deviations from standard diffusion-controlled relations in stiffer polymers arise from stiffness-dependent variations in cluster structure and effective diffusion.
This paper introduces a site-decorated Ising model that exactly maps to a frustrated bond-decorated system to explain ultranarrow phase crossovers and derive an exact solution for a temperature- or field-triggered spin-reversal transition, offering potential applications in energy-efficient devices and serving as a validated testbed for AI-assisted scientific discovery.
This paper derives the exact solution for the three-dimensional Z2 lattice gauge theory by leveraging its duality with the 3D Ising model, while investigating the roles of nonlocal effects, topological structures, and fundamental symmetries in these many-body systems.
This paper establishes an operational link between discrete generalized measurements and continuous decoherence, demonstrating that a single measurement round can abruptly eliminate quasiprobability negativity in finite-dimensional systems at a critical time that may precede the conventional decoherence time, thereby offering new insights into the quantum-to-classical transition and potential applications in quantum circuits.
This paper introduces a paradigm shift in Quantum Monte Carlo simulations by replacing the partition function with a generalized reduced-density-matrix (GRDM) as the sampled object, thereby overcoming measurement bottlenecks to enable the direct and efficient extraction of off-diagonal dynamical observables and mixed-state correlators.
This paper investigates an open Sachdev-Ye-Kitaev model coupled to a pseudogapped fermionic bath using the Keldysh formalism, revealing a rich dynamical phase diagram where non-Markovian dissipation competes with internal chaos to produce distinct regimes of power-law and exponential relaxation, as well as an intermediate crossover phase.
This paper demonstrates that a star topology maximizes the early-time charging power of interacting fermionic quantum batteries, establishing hub-and-spoke architectures as an optimal design for scalable, fast-charging platforms.
This paper establishes a formal equivalence between the Lindblad equation and Path Integral Molecular Dynamics (PIMD), demonstrating how PIMD can be utilized to simulate the non-equilibrium time evolution and convergence of ensemble-averaged observables in large atomic systems without explicitly solving the Lindblad equation, while ensuring the physical consistency of the density operator's positivity.
This paper investigates the universal purification dynamics in monitored non-unitary quantum processes across different random-matrix symmetry classes by employing two complementary toy models—discrete-time Gaussian matrix multiplication and continuous-time Dyson Brownian motion—to derive explicit expressions for the universal decay of Rényi entropies and validate these theoretical predictions through numerical simulations.
This paper demonstrates that the previously proposed stabilization mechanism for helical magnetohydrodynamic turbulence via spontaneous symmetry breaking yields only singular solutions due to inconsistent truncations, arguing instead that a consistent field-theoretic description of large-scale mean-field generation requires the inclusion of a bare curl term arising from parity-violating modifications to Ohm's law.