Disorder-controlled relaxation in a three-dimensional Hubbard model quantum simulator

Morong, W.; Muleady, Sean R.; Kimchi, Itamar; Xu, Wenchao; Nandkishore, Rahul; Rey, Ana María; DeMarco, Brian

doi:10.1103/physrevresearch.3.l012009

Cited by 7 publications

(4 citation statements)

References 43 publications

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“…In this case, the Mott gap itself provides a dynamical constraint which leads to slow thermalization of the interaction energy (double occupancy d = n j↑ n j↓ ) and the kinetic energy [232,233]. Relaxation times are found to be exponentially long in the ratio U/J 0 [234,235], closely related to the slow decay of doublons in cold atom experiments [236,237]. A quenched state can therefore relax into non-thermal phases in which the density of doublons is fixed as a quasi-conserved quantity.…”

Section: B Dpts Related To Non-thermal Symmetry Breakingmentioning

confidence: 97%

Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

Marino¹,

Eckstein²,

Foster³

et al. 2022

Preprint

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We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal behaviour on the two sides of a certain dynamical critical point. Dynamical phase transitions are currently mostly understood as long-lived prethermal phenomena in a regime where inelastic collisions are incapable to thermalize the system. The latter enables the dynamics to substain phases that explicitly break detailed balance and therefore cannot be encompassed by traditional thermodynamics. Our presentation covers both cold atoms as well as condensed matter systems. We revisit a broad plethora of platforms exhibiting pre-thermal DPTs, which become theoretically tractable in a certain limit, such as for a large number of particles, large number of order parameter components, or large spatial dimension. The systems we explore include, among others, quantum magnets with collective interactions, φ 4 quantum field theories, and Fermi-Hubbard models. A section dedicated to experimental explorations of DPTs in condensed matter and AMO systems connects this large variety of theoretical models.

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Section: B Dpts Related To Non-thermal Symmetry Breakingmentioning

confidence: 97%

Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

Marino¹,

Eckstein²,

Foster³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In this case, the Mott gap itself provides a dynamical constraint which leads to slow thermalization of the interaction energy (double occupancy d = n j↑ n j↓ ) and the kinetic energy [235,236]. Relaxation times are found to be exponentially long in the ratio U/J 0 [237,238], closely related to the slow decay of doublons in cold atom experiments [239,240]. A quenched state can therefore relax into non-thermal phases in which the density of doublons is fixed as a quasi-conserved quantity.…”

Section: (B))mentioning

confidence: 97%

Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

et al. 2022

View full text Add to dashboard Cite

We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal behaviour on the two sides of a certain dynamical critical point. Dynamical phase transitions are currently mostly understood as long-lived prethermal phenomena in a regime where inelastic collisions are incapable to thermalize the system. The latter enables the dynamics to sub stain phases that explicitly break detailed balance and therefore cannot be encompassed by traditional thermodynamics. Our presentation covers both cold atoms as well as condensed matter systems. We revisit a broad plethora of platforms exhibiting pre-thermal DPTs, which become theoretically tractable in a certain limit, such as for a large number of particles, large number of order parameter components, or large spatial dimension. The systems we explore include, among others, quantum magnets with collective interactions,φ4quantum field theories, and Fermi-Hubbard models. A section dedicated to experimental explorations of DPTs in condensed matter and AMO systems connects this large variety of theoretical models

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“…In addition, the metallic phase is identified for small values of the on-site interaction U and disorder strength Δ, the Mott insulating state stabilizes with increasing U, and large Δ favors the Anderson localization [17][18][19]. Besides Anderson disorder, the inhomogeneity of charge distribution through background doping and unwanted charged impurities generates random electron-electron coupling strengths (we refer to it as Coulomb disorder) [13][14][15][16]. Therefore, in order to make the model more realistic, we will also consider both sources of disorder, the Anderson and Coulomb ones, randomly distributed along the lattice.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, disorder always exists in real materials, but up to now, in most studies, the disorder was restricted to the random on-site potential while the Coulomb repulsion was supposed to be the same for all sites. That is hardly justified in real situations and for models with local Coulomb interactions, such as the Hubbard and/or Anderson-Hubbard models (AHMs), disorder in on-site Coulomb interactions should also be taken into consideration when analyzing a random medium that causes Anderson localization [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Anderson localization in the Anderson–Hubbard model with site-dependent interactions

Nguyen

Hoang

2022

New J. Phys.

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We consider Anderson localization in the half-filled Anderson-Hubbard model in the presence of either random on-site interactions or spatially alternating interactions in the lattice. By using dynamical mean field theory with the equation of motion method as an impurity solver, we calculate the arithmetically and geometrically averaged local density of states and derive the equations determining the critical value for the phase transition between metallic, Anderson and Mott insulating phases. The nonmagnetic ground state phase diagrams are constructed numerically. We figure out that the presence of Coulomb disorder drives the system toward the Anderson localized phase that can occur even in the absence of Anderson structural disorder. For the spatially alternating interactions, we find that the metallic region is reduced and the Mott and Anderson insulator ones are enlarged with increasing interaction modulation. Our obtained results are relevant to current research in ultracold atoms in disordered optical lattices where metal-insulator transition can be observed experimentally by using ultracold atom techniques.

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Disorder-controlled relaxation in a three-dimensional Hubbard model quantum simulator

Cited by 7 publications

References 43 publications

Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

Anderson localization in the Anderson–Hubbard model with site-dependent interactions

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