Observation of Elastic Doublon Decay in the Fermi-Hubbard Model

Strohmaier, Niels; Greif, Daniel; Jördens, Robert; Tarruell, Leticia; Moritz, Henning; Esslinger, Tilman; Sensarma, Rajdeep; Pekker, David; Altman, Ehud; Demler, Eugene

doi:10.1103/physrevlett.104.080401

Cited by 254 publications

(289 citation statements)

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“…The resulting doublon dissolution times (Fig. 13) are about an order of magnitude larger than the decay time of excess doublons measured recently in a half filled situation [5] in 3D at comparable interactions. Furthermore, they match very well the typical timescales for melting of the diffusive core of the cloud observed within our numerical simulations.…”

Section: Doublon Dissolution Timementioning

confidence: 79%

“…For very strong attractive or repulsive interactions |U | J, however, doubly occupied sites (doublons) only decay very slowly [5,44,45] as the missing or excess energy of order U cannot easily be transferred to other particles.…”

Section: Doublon Dissolution Timementioning

confidence: 99%

“…The slight asymmetry at large interactions can be attributed to interaction dependent losses caused by light-assisted collisions during the preparation sequence. This pronounced dependence of the dynamics on small interactions enabled us to measure the zero crossing of the scattering length (B(a = 0) = 209.1 ± 0.2 G), which corresponds to a width of the Feshbach resonance of w = 7.0 ± 0.2 G, see SI H. In contrast to the high interaction limit, where the exponentially long lifetime [5] of excess doublons leads to two independent dynamics of doublons and single atoms, we observe thermal equilibrium between doublons and unpaired atoms, as shown in detail in the Supplementary Information (SI I).…”

Section: Interacting Casementioning

confidence: 99%

“…While the last years have seen dramatic progress in the control of quantum gases in optical lattices [1][2][3], a thorough understanding of the dynamics in these systems is still lacking. Genuine dynamical experiments can not only uncover new dynamic phenomena but are also essential to gain insight into the timescales needed to achieve equilibrium in the lattice [4,5] or to adiabatically load into the lattice [6,7].…”

mentioning

confidence: 99%

“…While the last years have seen dramatic progress in the control of quantum gases in optical lattices [1-3], a thorough understanding of the dynamics in these systems is still lacking. Genuine dynamical experiments can not only uncover new dynamic phenomena but are also essential to gain insight into the timescales needed to achieve equilibrium in the lattice [4,5] or to adiabatically load into the lattice [6,7].Using both bosonic and fermionic [8-10] atoms, it has become possible to simulate models of strongly interacting quantum particles, for which the Hubbard model [11] * ulrich.schneider@lmu.de is probably the most important example. A major advantage of these systems compared to real solids is the possibility to change all relevant parameters in real-time by e.g.…”

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confidence: 99%

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Fermionic transport and out-of-equilibrium dynamics in a homogeneous Hubbard model with ultracold atoms

et al. 2012

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Transport properties are among the defining characteristics of many important phases in condensed matter physics. In the presence of strong correlations they are difficult to predict even for model systems like the Hubbard model. In real materials they are in general obscured by additional complications including impurities, lattice defects or multi-band effects. Ultracold atoms in contrast offer the possibility to study transport and out-of-equilibrium phenomena in a clean and well-controlled environment and can therefore act as a quantum simulator for condensed matter systems. Here we studied the expansion of an initially confined fermionic quantum gas in the lowest band of a homogeneous optical lattice. While we observe ballistic transport for non-interacting atoms, even small interactions render the expansion almost bimodal with a dramatically reduced expansion velocity. The dynamics is independent of the sign of the interaction, revealing a novel, dynamic symmetry of the Hubbard model.In solid state physics, transport properties are among the key observables, the most prominent example being the electrical conductivity, which e.g. allows to distinguish normal conductors from insulators or superconductors. Furthermore, many of today's most intriguing solid state phenomena manifest themselves in transport properties, examples including high-temperature superconductivity, giant magnetoresistance, quantum hall physics, topological insulators and disorder phenomena. Especially in strongly correlated systems, where the interactions between the conductance electrons are important, transport properties are difficult to calculate beyond the linear response regime. In general, predicting out-of-equilibrium fermionic dynamics represents an even harder problem than the prediction of static properties like the nature of the ground state. In real solids further complications arise due to the effects of e.g. impurities, lattice defects and phonons. These complications render an experimental investigation in a clean and well controlled ultracold atom system highly desirable. While the last years have seen dramatic progress in the control of quantum gases in optical lattices [1-3], a thorough understanding of the dynamics in these systems is still lacking. Genuine dynamical experiments can not only uncover new dynamic phenomena but are also essential to gain insight into the timescales needed to achieve equilibrium in the lattice [4,5] or to adiabatically load into the lattice [6,7].Using both bosonic and fermionic [8-10] atoms, it has become possible to simulate models of strongly interacting quantum particles, for which the Hubbard model [11] * ulrich.schneider@lmu.de is probably the most important example. A major advantage of these systems compared to real solids is the possibility to change all relevant parameters in real-time by e.g. varying laser intensities or magnetic fields. While first studies of dynamical properties of both bosonic and fermionic quantum gases [12][13][14] have already been performed, a remaining...

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Section: Doublon Dissolution Timementioning

confidence: 79%

Section: Doublon Dissolution Timementioning

confidence: 99%

Section: Interacting Casementioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Fermionic transport and out-of-equilibrium dynamics in a homogeneous Hubbard model with ultracold atoms

et al. 2012

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Particle injection into a chain: decoherence versus relaxation for Hermitian and non‐Hermitian dynamics

et al. 2012

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A model system for the injection of fermionic particles from filled source sites into an empty chain is investigated. The ensuing dynamics for Hermitian as well as for non-Hermitian time evolution, where the particles cannot return to the bath sites (quantum ratchet), is studied. A nonhomogeneous hybridization between bath and chain sites permits transient currents in the chain. Non-interacting particles show decoherence in the thermodynamic limit: the average particle number and the average current density in the chain become stationary for long times, whereas the single-particle density matrix displays large fluctuations around its mean value. Using the numerical timedependent density-matrix renormalization group (t -DMRG) method it is demonstrated, on the other hand, that sizable density-density interactions between the particles introduce relaxation which is by orders of magnitudes faster than the decoherence processes.

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Localization due to interaction‐enhanced disorder in bosonic systems

Singh

Shimshoni

2017

Annalen der Physik

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Localization in interacting systems caused by disorder, known as many-body localization (MBL), has attracted a lot of attention in recent years. Most systems studied in this context also show single-particle localization, and the question of MBL is whether the phenomena survives the effects of interactions. It is intriguing to consider a system with no single-particle localization but which does localize in the presence of many particles. The localization phenomena occurs "due to" rather than "in spite of" interactions in such systems. We consider a simple bosonic system and show that interactions enhance the effects of very weak disorder and result in localization when many particles are present. We provide physical insights into the mechanism involved and support our results with analytical and numerical calculations.

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Observation of Elastic Doublon Decay in the Fermi-Hubbard Model

Abstract: Published Version

Cited by 254 publications

References 18 publications

Fermionic transport and out-of-equilibrium dynamics in a homogeneous Hubbard model with ultracold atoms

Fermionic transport and out-of-equilibrium dynamics in a homogeneous Hubbard model with ultracold atoms

Particle injection into a chain: decoherence versus relaxation for Hermitian and non‐Hermitian dynamics

Localization due to interaction‐enhanced disorder in bosonic systems

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