Coupled Hydrodynamics in Dipole-Conserving Quantum Systems

Burchards, Ansgar; Schuckert, Alexander; Feldmeier, Johannes; Knap, Michael

doi:10.48550/arxiv.2201.08852

Cited by 3 publications

(3 citation statements)

References 52 publications

(96 reference statements)

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“…External potentials can crucially modify the hydrodynamics: in Sec. VI we demonstrate that the QBE predicts the crossover from diffusive transport with dynamical exponent z = 2 to subdiffusive transport with z = 4 in the presence of a tilt potential; in line with recent experimental results [15] and the effective dipoleconserving hydrodynamics [13,14,32]. In Sec.…”

Section: Introductionsupporting

confidence: 88%

Tunable transport in the mass-imbalanced Fermi-Hubbard model

Zechmann,

Bastianello,

Knap

2022

Preprint

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Section: Introductionsupporting

confidence: 88%

Tunable transport in the mass-imbalanced Fermi-Hubbard model

Zechmann,

Bastianello,

Knap

2022

Preprint

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“…Crucially, constraints generally have a qualitative impact on the thermalization process of many-body systems towards equilibrium. While in some instances the presence of fractonic constraints can be as severe as precluding thermalization altogether [34][35][36][37], in many others they lead to novel subdiffusive universality classes of (emer-gent) hydrodynamic relaxation of the non-equilibrium evolution at late times [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52].…”

mentioning

confidence: 99%

Emergent tracer dynamics in constrained quantum systems

Feldmeier,

Witczak-Krempa,

Knap

2022

Preprint

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We show how the tracer motion of tagged, distinguishable particles can effectively describe transport in various homogeneous quantum many-body systems with constraints. We consider systems of spinful particles on a one-dimensional lattice subjected to constrained spin interactions, such that some or even all multipole moments of the effective spin pattern formed by the particles are conserved. On the one hand, when all moments-and thus the entire spin pattern-are conserved, dynamical spin correlations reduce to tracer motion identically, generically yielding a subdiffusive dynamical exponent z = 4. This provides a common framework to understand the dynamics of several constrained lattice models, including models with XNOR or tJz -constraints. We consider random unitary circuit dynamics with such a conserved spin pattern and use the tracer picture to obtain exact expressions for their late-time dynamical correlations. Our results can also be extended to integrable quantum many-body systems that feature a conserved spin pattern but whose dynamics is insensitive to the pattern, which includes for example the folded XXZ spin chain. On the other hand, when only a finite number of moments of the pattern are conserved, the dynamics is described by a convolution of the internal hydrodynamics of the spin pattern with a tracer distribution function. As a consequence, we find that the tracer universality is robust in generic systems if at least the quadrupole moment of the pattern remains conserved. In cases where only total magnetization and dipole moment of the pattern are constant, we uncover an intriguing coexistence of two processes with equal dynamical exponent but different scaling functions, which we relate to phase coexistence at a first order transition.

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“…Anomalies lead to clear signatures even within classical hydrodynamics [4][5][6], while electron liquids may have reduced spatial symmetries which lead to unconventional transport coefficients [7][8][9][10][11][12][13][14]. Most recently, kinetically constrained "fracton hydrodynamics" have been intensely studied [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

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confidence: 99%

Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions

Qi¹,

Guo²,

Lucas³

2022

Preprint

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We present a theory of hydrodynamics for a vector U(1) charge in 2+1 dimensions, whose rotational symmetry is broken to the point group of an equilateral triangle. We show that it is possible for this U(1) to have a chiral anomaly. The hydrodynamic consequence of this anomaly is the introduction of a ballistic contribution to the dispersion relation for the hydrodynamic modes. We simulate classical Markov chains and find compelling numerical evidence for the anomalous hydrodynamic universality class. Generalizations of our theory to other symmetry groups are also discussed. CONTENTS 8 4.1. Warm-up: biased random walk 8 4.2. Triangle fluid 9 5. Markov chains 9 5.1. Some useful facts 9 5.2. Details of the Markov chains 10 5.3. Numerical results 11 6. Discussion 12 Acknowledgments 13 A. Lagrangian free field theory with triangular anomaly and 3+1d anomaly inflow 13 1. Warm-up: chiral boson 13 2. Triangular model 14 References 17

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Coupled Hydrodynamics in Dipole-Conserving Quantum Systems

Cited by 3 publications

References 52 publications

Tunable transport in the mass-imbalanced Fermi-Hubbard model

Tunable transport in the mass-imbalanced Fermi-Hubbard model

Emergent tracer dynamics in constrained quantum systems

Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions

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