Approximating quantum thermodynamic properties using DFT
arXiv:2201.05563 · doi:10.1088/1361-648X/ac6648
Abstract
The fabrication, utilisation, and efficiency of quantum technologies rely on a good understanding of quantum thermodynamic properties. Many-body systems are often used as hardware for these quantum devices, but interactions between particles make the complexity of related calculations grow exponentially with the system size. Here we explore and systematically compare `simple' and `hybrid' approximations to the average work and entropy variation built on static density functional theory concepts. These approximations are computationally cheap and could be applied to large systems. We exemplify them considering driven one-dimensional Hubbard chains and show that, for `simple' approximations and low to medium temperatures, it pays to consider a good Kohn-Sham Hamiltonian to approximate the driving Hamiltonian. Our results confirm that a `hybrid' approach, requiring a very good approximation of the initial and, for the entropy, final states of the system, provides great improvements. This approach should be particularly efficient when many-body effects are not increased by the driving Hamiltonian.
References in corpus (54)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Real time evolution using the density matrix renormalization group
- Quantum many-body systems out of equilibrium
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Quantum Thermodynamics
- The role of quantum information in thermodynamics --- a topical review
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Quantum simulation of a Fermi-Hubbard model using a semiconductor quantum dot array
- Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
- Bad metallic transport in a cold atom Fermi-Hubbard system
- Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
- Generalized Clausius inequality for nonequilibrium quantum processes
- The one-dimensional Hubbard model: A reminiscence
- Perspective: Quantum Thermodynamics
- Density-functionals not based on the electron gas: Local-density approximation for a Luttinger liquid
- Spin Transport in a Mott Insulator of Ultracold Fermions
- Emergent thermodynamics in a quenched quantum many-body system
- Irreversibility and the arrow of time in a quenched quantum system
- Quantum critical behavior of the one-dimensional ionic Hubbard model
- The Hubbard Dimer: A density functional case study of a many-body problem
- Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
- Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas
- Generic Hubbard model description of semiconductor quantum dot spin qubits
- Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
- Work and Quantum Phase Transitions: Is there Quantum Latency?
- Kohn-Sham calculations with the exact functional
- Extending the range of real time density matrix renormalization group simulations
- Non-Equilibrium Mass Transport in the 1D Fermi-Hubbard Model
- Spectral Properties near the Mott Transition in the One-Dimensional Hubbard Model
- Challenging Adiabatic Time-dependent Density Functional Theory with a Hubbard Dimer: The Case of Time-Resolved Long-Range Charge Transfer
- Exact conditions on the temperature dependence of density functionals
- Performance of the time-dependent variational principle for matrix product states in long-time evolution of a pure state
- Exact thermal density functional theory for a model system: Correlation components and accuracy of the zero-temperature exchange-correlation approximation
- Statistics of the work distribution for a quenched Fermi gas
- Entanglement entropy and entanglement witnesses in models of strongly interacting low-dimensional fermions
- Simple parametrization for the ground-state energy of the infinite Hubbard chain incorporating Mott physics, spin-dependent phenomena and spatial inhomogeneity
- The Hubbard model as an approximation to the entanglement in nanostructures
- Nonequilibrium critical scaling from quantum thermodynamics
- Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
- Fulde-Ferrell-Larkin-Ovchinnikov critical polarization in one-dimensional fermionic optical lattices
- DFT-inspired methods for quantum thermodynamics
- The Hubbard chain: Lieb-Wu equations and norm of the eigenfunctions
- Theory of Entropy Production in Quantum Many-Body Systems
- Local density approximations from finite systems
- Feasibility of approximating spatial and local entanglement in long-range interacting systems using the extended Hubbard model
- Quantum Hertz entropy increase in a quenched spin chain
- Uniqueness of density-to-potential mapping for fermionic lattice systems
- Experimental realization of fragmented models in tilted Fermi-Hubbard chains
- Towards overcoming the entanglement barrier when simulating long-time evolution
- Many-body effects on the thermodynamics of closed quantum systems
- Density-functional theory approach to the thermodynamics of the harmonically confined one-dimensional Hubbard model
- Melting a Hubbard dimer: benchmarks of `ALDA' for quantum thermodynamics
- Metric-space approach for distinguishing quantum phase transitions in spin-imbalanced systems
- Symmetries and boundary conditions with a twist