Complex path simulations of geometrically frustrated ladders
arXiv:2302.10935 · doi:10.1103/PhysRevB.109.115122
Abstract
Quantum systems with geometrical frustration remain an outstanding challenge for numerical simulations due to the infamous numerical sign problem. Here, we overcome this obstruction via complex path integration in a geometrically frustrated ladder of interacting bosons at finite density. This enables studies of the many-body ground state properties, otherwise inaccessible with standard quantum Monte Carlo methods. Specifically, we study a chemical potential tuned quantum phase transition, along which we track the emergence of quasi-long-range order and critical softening of the single particle gap. We chart future methodological improvements and applications in generalized geometrically frustrated lattice models.
arXiv comment10 pages, 9 figures, published version
References in corpus (31)
- Quantum Spin Liquids
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- Tensor Network Renormalization
- Feedback-optimized parallel tempering Monte Carlo
- Functional integrals for QCD at nonzero chemical potential and zero density
- Meron-Cluster Solution of Fermion Sign Problems
- Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions
- Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
- A Monte Carlo algorithm for simulating fermions on Lefschetz thimbles
- Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
- Monte Carlo study of real time dynamics
- Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds
- Schwinger-Keldysh on the lattice: a faster algorithm and its application to field theory
- Parallel tempering algorithm for integration over Lefschetz thimbles
- Deep Learning Beyond Lefschetz Thimbles
- Monte Carlo calculations of the finite density Thirring model
- Method for simulating O(N) lattice models at finite density
- Sign-problem-free Monte Carlo simulation of certain frustrated quantum magnets
- Fermions at Finite Density in (2+1)d with Sign-Optimized Manifolds
- Tempered transitions between thimbles
- Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
- How Quantum Are Non-Negative Wavefunctions?
- Chiral Bosonic Mott Insulator on the Frustrated Triangular Lattice
- Fast Estimator of jacobians in Monte Carlo Integration on Lefschetz Thimbles
- Finite Density Near Lefschetz Thimbles
- A simple approach towards the sign problem using path optimisation
- Intrinsic sign problem in fermionic and bosonic chiral topological matter
- Intrinsic sign problems in topological quantum field theories
- A study of symmetry breaking in a relativistic Bose gas using the contraction algorithm
- Exponential reduction of the sign problem at finite density in the 2+1D XY model via contour deformations
- Lefschetz Thimble Quantum Monte Carlo for Spin Systems