Direct mapping of the finite temperature phase diagram of strongly correlated quantum models
arXiv:0901.0606 · doi:10.1103/PhysRevLett.103.085701
Abstract
Optical lattice experiments, with the unique potential of tuning interactions and density, have emerged as emulators of nontrivial theoretical models that are directly relevant for strongly correlated materials. However, so far the finite temperature phase diagram has not been mapped out for any strongly correlated quantum model. We propose a remarkable method for obtaining such a phase diagram for the first time directly from experiments using only the density profile in the trap as the input. We illustrate the procedure explicitly for the Bose Hubbard model, a textbook example of a quantum phase transition from a superfluid to a Mott insulator. Using "exact" quantum Monte Carlo simulations in a trap with up to bosons, we show that kinks in the local compressibility, arising from critical fluctuations, demarcate the boundaries between superfluid and normal phases in the trap. The temperature of the bosons in the optical lattice is determined from the density profile at the edge. Our method can be applied to other phase transitions even when reliable numerical results are not available.
12 pages, 5 figures
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- Probing correlated phases of bosons in optical lattices via trap squeezing
Cited by in corpus (30)
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- BCS-BEC Crossover and the Unitary Fermi Gas
- Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
- Coherent and dissipative dynamics at quantum phase transitions
- Compressibility of a fermionic Mott insulator of ultracold atoms
- Fermions in 3D Optical Lattices: Cooling Protocol to Obtain Antiferromagnetism
- Signature of Quantum Criticality in the Density Profiles of Cold Atom Systems
- Universal Thermometry for Quantum Simulation
- Finite temperature study of bosons in a two dimensional optical lattice
- Criticality in Trapped Atomic Systems
- Techniques to measure quantum criticality in cold atoms
- Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
- Quantum Criticality from in-situ Density Imaging
- Exploring quantum criticality based on ultracold atoms in optical lattices
- Bragg spectroscopy of clean and disordered lattice bosons in one dimension: a spectral fingerprint of the Bose glass
- Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
- Critical parameters from trap-size scaling in trapped particle systems
- Measuring the equation of state of trapped ultracold bosonic systems in an optical lattice with in-situ density imaging
- Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
- Thermal bosons in 3d optical lattices via tensor networks
- Comment on "Direct Mapping of the Finite Temperature Phase Diagram of Strongly Correlated Quantum Models" by Q. Zhou, Y. Kato, N. Kawashima, and N. Trivedi, Phys. Rev. Lett. 103, 085701 (2009)
- Exploring the grand-canonical phase diagram of interacting bosons in optical lattices by trap squeezing
- State diagram for continuous quasi-one dimensional systems in optical lattices
- Spectral moment sum rules for the retarded Green's function and self-energy of the inhomogeneous Bose-Hubbard model in equilibrium and nonequilibrium
- Revealing the Condensate and Non-Condensate Distributions in the Inhomogeneous Bose-Hubbard Model
- Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
- Strong-coupling expansion for ultracold bosons in an optical lattice at finite temperatures in the presence of superfluidity
- Probing Phases and Quantum Criticality using Deviations from the Local Fluctuation-Dissipation Theorem
- Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate
- Repulsive Fermions in Optical Lattices: Phase separation versus Coexistence of Antiferromagnetism and d-Superfluidity