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The study of spin decoherence is often performed by assuming that spin-phonon interactions lead to relaxation at high temperatures, and spin-spin dipolar interactions instead contribute to pure dephasing at low temperatures. This has…

Quantum Physics · Physics 2026-02-17 Conor Ryan , Alessandro Lunghi

Decoherence of a center spin or qubit in a spin bath is essentially determined by the many-body bath evolution. We develop a cluster-correlation expansion (CCE) theory for the spin bath dynamics relevant to the qubit decoherence problem. A…

Mesoscale and Nanoscale Physics · Physics 2008-08-25 Wen Yang , Ren-bao Liu

We theoretically study the longitudinal relaxation of a nitrogen-vacancy (NV) center surrounded by a 13C nuclear spin bath in diamond. By incorporating electron spin in the cluster, we generalize the cluster-correlation expansion (CCE) to…

Quantum Physics · Physics 2020-01-22 Zhi-Sheng Yang , Yan-Xiang Wang , Ming-Jie Tao , Wen Yang , Mei Zhang , Qing Ai , Fu-Guo Deng

Decoherence of a center spin or qubit in a spin bath is essentially determined by the many-body bath evolution. The bath dynamics can start either from a pure state or, more generally, from a statistical ensemble. In the preceding article…

Mesoscale and Nanoscale Physics · Physics 2009-03-27 Wen Yang , Ren-Bao Liu

The clock transitions (CTs) of central spins have long coherence times because their frequency fluctuations vanish in the linear order of external field noise (such as Overhauser fields from nuclear spin baths). Therefore, CTs are useful…

Quantum Physics · Physics 2021-01-04 Geng-Li Zhang , Wen-Long Ma , Ren-Bao Liu

Pyqcm is a Python/C++ library that implements a few quantum cluster methods with an exact diagonalization impurity solver. Quantum cluster methods are used in the study of strongly correlated electrons to provide an approximate solution to…

Strongly Correlated Electrons · Physics 2024-01-10 Théo N. Dionne , Alexandre Foley , Moïse Rousseau , David Sénéchal

Alloy cluster expansions (CEs) provide an accurate and computationally efficient mapping of the potential energy surface of multi-component systems that enables comprehensive sampling of the many-dimensional configuration space. Here, we…

Density functional theory (DFT)-based simulations of materials have first-principles accuracy, but are very computationally expensive. For simulating various properties of multi-component alloys, the cluster expansion (CE) technique has…

Materials Science · Physics 2026-04-01 Jacob Jeffries , Bochuan Sun , Enrique Martinez

We present the Python package CELL, which provides a modular approach to the cluster expansion (CE) method. CELL can treat a wide variety of substitutional systems, including one-, two-, and three-dimensional alloys, in a general…

Materials Science · Physics 2023-10-30 Santiago Rigamonti , Maria Troppenz , Martin Kuban , Axel Hübner , Claudia Draxl

We present an efficient implementation of the Generalized Green's function Cluster Expansion (GGCE), which is a new method for computing the ground-state properties and dynamics of polarons (single electrons coupled to lattice vibrations)…

Computational Physics · Physics 2023-10-16 Matthew R. Carbone , Stepan Fomichev , Andrew J. Millis , Mona Berciu , David R. Reichman , John Sous

We present a cluster expansion method for approximating quantum spin-bath dynamics in terms of a classical Gaussian stochastic process. The cluster expansion produces the two-point correlation function of the approximate classical bath,…

Mesoscale and Nanoscale Physics · Physics 2014-09-30 Wayne M. Witzel , Kevin Young , Sankar Das Sarma

We introduce SpinPulse, an open-source python package for simulating spin qubit-based quantum computers at the pulse-level. SpinPulse models the specific physics of spin qubits, particularly through the inclusion of classical non-Markovian…

preCICE is a free/open-source coupling library. It enables creating partitioned multi-physics simulations by gluing together separate software packages. This paper summarizes the development efforts in preCICE of the past five years. During…

We describe a new open-source Python-based package for high accuracy correlated electron calculations using quantum Monte Carlo (QMC) in real space: PyQMC. PyQMC implements modern versions of QMC algorithms in an accessible format, enabling…

We simulate the coherence of two coupled electron spins interacting with a bath of nuclei using the generalized cluster correlation expansion (gCCE) method. An exchange interaction between the electrons facilitates a family of entangling…

Quantum Physics · Physics 2026-01-09 Xiao Chen , Silas Hoffman , James N. Fry , Hai-Ping Cheng

We develop a numerical linked cluster expansion (NLCE) method that can be applied directly to inhomogeneous systems, for example Hamiltonians with disorder and dynamics initiated from inhomogeneous initial states. We demonstrate the method…

Strongly Correlated Electrons · Physics 2020-07-22 Johann Gan , Kaden R. A. Hazzard

We present a new open-source Python package for exact diagonalization and quantum dynamics of spin(-photon) chains, called QuSpin, supporting the use of various symmetries in 1-dimension and (imaginary) time evolution for chains up to 32…

Computational Physics · Physics 2017-02-15 Phillip Weinberg , Marin Bukov

We propose a new approach to simulate the decoherence of a central spin coupled to an interacting dissipative spin bath with cluster-correlation expansion techniques. We benchmark the approach on generic 1D and 2D spin baths and find…

Quantum Physics · Physics 2023-12-05 Mykyta Onizhuk , Yu-Xin Wang , Jonah Nagura , Aashish A. Clerk , Giulia Galli

QC Lab is an open-source Python package for QC dynamics simulations aimed to promote the development of QC algorithms, and their application to a wide variety of relevant model problems. It follows a modular design that facilitates…

Chemical Physics · Physics 2025-10-28 Alex Krotz , Ethan Byrd , Ken Miyazaki , Roel Tempelaar

We demonstrate that numerical linked cluster expansions (NLCE) yield a powerful approach to calculate time-dependent correlation functions for quantum many-body systems in one dimension. As a paradigmatic example, we study the dynamics of…

Strongly Correlated Electrons · Physics 2019-03-21 Jonas Richter , Robin Steinigeweg
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