Tricritical point in the quantum Hamiltonian mean-field model
arXiv:2202.08855 · doi:10.1103/PhysRevE.106.024109
Abstract
Engineering long-range interactions in experimental platforms has been achieved with great success in a large variety of quantum systems in recent years. Inspired by this progress, we propose a generalization of the classical Hamiltonian mean-field model to fermionic particles. We study the phase diagram and thermodynamic properties of the model in the canonical ensemble for ferromagnetic interactions as a function of temperature and hopping. At zero temperature, small charge fluctuations drive the many-body system through a first order quantum phase transition from an ordered to a disordered phase at zero temperature. At higher temperatures, the fluctuation-induced phase transition remains first order initially and switches to second order only at a tricritical point. Our results offer an intriguing example of tricriticality in a quantum system with long-range couplings, which bears direct experimental relevance. The analysis is performed by exact diagonalization and mean-field theory.
References in corpus (26)
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Reliable Quantum Computers
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Cold atoms in cavity-generated dynamical optical potentials
- Quantum phase transitions
- Quantum phases from competing short- and long-range interactions in an optical lattice
- A Coherent Spin-Photon Interface in Silicon
- Non-Gaussian equilibrium in a long-range Hamiltonian system
- Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
- Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model
- Long-Range Microwave Mediated Interactions Between Electron Spins
- Optimal purification of single qubits
- Criticality and Phase Diagram of Quantum Long-Range models
- Tricritical universality in a two-dimensional spin fluid
- Semiclassical theory of cavity-assisted atom cooling
- Entanglement and fluctuations in the XXZ model with power-law interactions
- Prethermalization of atoms due to photon-mediated long-range interactions
- Dissipation-assisted prethermalization in long-range interacting atomic ensembles
- Cooling of atomic ensembles in optical cavities: Semiclassical limit
- Out-of-equilibrium phase transitions in the HMF model: a closer look
- Violent relaxation in quantum fluids with long-range interactions
- Balancing long-range interactions and quantum pressure: solitons in the HMF model
- An SYK-inspired model with density-density interactions: spectral & wave function statistics, Green's function and phase diagram
- First numerical evidence of Janssen-Oerding's prediction in a three-dimensional spin model far from equilibrium
- Quantum fluctuations inhibit symmetry breaking in the HMF model