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It is "conventional wisdom" that the uncertainty of local temperature measurements on equilibrium systems diverges exponentially fast as their temperature $T$ drops to zero. In contrast, some exactly solvable models showcase a more benign…

Quantum Physics · Physics 2018-07-04 Karen V. Hovhannisyan , Luis A. Correa

Quantum tunneling dominates coherent transport at low temperatures in many systems of great interest. In this work we report a many--body tunneling (MBT), by nonperturbatively solving the Anderson multi-impurity model, and identify it a…

Mesoscale and Nanoscale Physics · Physics 2017-01-24 WenJie Hou , YuanDong Wang , JianHua Wei , ZhenGang Zhu , YiJing Yan

Accurate and precise control of large quantum systems is paramount to achieve practical advantages on quantum devices. Therefore, benchmarking the hardware errors in quantum computers has drawn significant attention lately. Existing…

Quantum Physics · Physics 2023-01-18 Bharath Hebbe Madhusudhana

We test the effectiveness of the multicanonical algorithm for the tertiary structure prediction of peptides and proteins. As a simple example we study Met-enkephalin. The lowest-energy conformation obtained agrees with that determined by…

Condensed Matter · Physics 2007-05-23 Ulrich H. E. Hansmann , Yuko Okamoto

We study the dynamics of the quenched Anderson model at finite temperature using matrix product states. Exploiting a chain mapping for the electron bath, we investigate the entanglement structure in the MPS for various orderings of the two…

Strongly Correlated Electrons · Physics 2021-07-08 Lucas Kohn , Giuseppe E. Santoro

Quantum computing promises transformative impacts in simulating Hamiltonian dynamics, essential for studying physical systems inaccessible by classical computing. However, existing compilation techniques for Hamiltonian simulation, in…

The dynamics of simple qubit systems in a chain configuration coupled at both ends to separate bosonic baths at different temperatures is studied. An exact analytical solution of the master equation in the Born-Markov approximation for the…

Quantum Physics · Physics 2014-01-13 I. Sinayskiy , N. Pumulo , F. Petruccione

Parameterized artificial neural networks (ANNs) can be very expressive ansatzes for variational algorithms, reaching state-of-the-art energies on many quantum many-body Hamiltonians. Nevertheless, the training of the ANN can be slow and…

Quantum Physics · Physics 2025-06-04 Conor Smith , Quinn T. Campbell , Tameem Albash

We consider Hamiltonian simulation using the first order Lie-Trotter product formula under the assumption that the initial state has a high overlap with an energy eigenstate, or a collection of eigenstates in a narrow energy band. This…

Quantum Physics · Physics 2021-02-26 Changhao Yi , Elizabeth Crosson

This paper offers a contemporary and comprehensive perspective on the classical algorithms utilized for the solution of minimum-time problem for linear systems (MTPLS). The use of unified notations supported by visual geometric…

Optimization and Control · Mathematics 2024-10-29 M E Buzikov , A M Mayer

We take advantage of recent improvements in the grand canonical Hybrid Monte Carlo algorithm, to perform a precision study of the single-particle gap in the hexagonal Hubbard model, with on-site electron-electron interactions. After…

Strongly Correlated Electrons · Physics 2021-01-04 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

The quantum simulation of quantum chemistry is a promising application of quantum computers. However, for N molecular orbitals, the $\mathcal{O}(N^4)$ gate complexity of performing Hamiltonian and unitary Coupled Cluster Trotter steps makes…

Computational Physics · Physics 2022-05-18 Mario Motta , Erika Ye , Jarrod R. McClean , Zhendong Li , Austin J. Minnich , Ryan Babbush , Garnet Kin-Lic Chan

Preparing thermal and ground states is an essential quantum algorithmic task for quantum simulation. In this work, we construct the first efficiently implementable and exactly detailed-balanced Lindbladian for Gibbs states of arbitrary…

Quantum Physics · Physics 2025-10-15 Chi-Fang Chen , Michael J. Kastoryano , András Gilyén

Our research highlights the effectiveness of utilizing matrices akin to Wishart matrices, derived from magnetization time series data under specific dynamics, to elucidate phase transitions and critical phenomena in the Q-state Potts model.…

Statistical Mechanics · Physics 2024-04-12 Roberto da Silva , Eliseu Venites , Sandra D. Prado , J. R. Drugowich de Felicio

We study the finite and non-zero temperature phase diagram of the Extended Bose-Hubbard Model for both pure and disordered systems. Such a system can be experimentally realized by trapping ultracold Rydberg atoms in optical lattices. By…

Quantum Gases · Physics 2026-03-04 Madhumita Kabiraj , Raka Dasgupta

Projected entangled pair states (PEPS) on finite two-dimensional lattices are a natural ansatz for representing ground states of local many-body Hamiltonians, as they inherently satisfy the boundary law of entanglement entropy. In this…

Strongly Correlated Electrons · Physics 2025-05-14 Daniel Alcalde Puente , Erik Lennart Weerda , Konrad Schröder , Matteo Rizzi

A minimal requirement for simulating multi-scale systems is to reproduce the statistical behavior of the slow variables. In particular, a good numerical method should accurately aproximate the probability density function of the…

Dynamical Systems · Mathematics 2018-04-13 J. Frank , G. A. Gottwald

Building upon recent progress in Lindblad engineering for quantum Gibbs state preparation algorithms, we propose a simplified protocol that is shown to be efficient under the eigenstate thermalization hypothesis (ETH). The ETH reduces…

We investigate a weak version of subsystem eigenstate thermalization hypothesis (ETH) for a two-dimensional large central charge conformal field theory by comparing the local equivalence of high energy state and thermal state of canonical…

High Energy Physics - Theory · Physics 2017-11-22 Song He , Feng-Li Lin , Jia-ju Zhang

Within the framework of imaginary-time evolution for matrix product states, we introduce a cluster version of the infinite time-evolving block decimation algorithm for simulating quantum many-body systems, addressing the computational…

Strongly Correlated Electrons · Physics 2025-09-01 Tao Yang , Rui Wang , Z. Y. Xie , Baigeng Wang