We derive relativistic hydrodynamics from quantum field theories by assuming that the density operator is given a local Gibbs distribution at initial time. decompose energy-momentum tensor and particle current into nondissipative dissipative parts, analyze their time evolution in detail. Performing path-integral formulation of distribution, we microscopically generating functional for hydrodynamics.We also construct basis to study corrections. In particular, first-order hydrodynamic...

The Lefschetz-thimble approach to path integrals is applied a one-site model of electrons, i.e., the Hubbard model. Since shows non-analytic behavior at zero temperature and its integral expression has sign problem, this toy good testing ground for an idea or technique attack problem. Semiclassical analysis using complex saddle points unveils significance interference among multiple Lefschetz thimbles reproduce by integral. If number insufficient, we found not only large discrepancies from...

The photovoltaic effect due to the adiabatic quantum phase in noncentrosymmetric Weyl semimetals is studied. We particularly focus on case which an external ac electric field applied. By considering a generalized Hamiltonian with nonlinear terms, we show that photocurrent induced by circularly, rather than linearly, polarized light. This current can be understood as emergent electromagnetic induction momentum space; node magnetic monopole space, circular motion of induces field. result...

A bstract We study the Hamiltonian lattice Yang-Mills theory based on spin networks that provide a useful basis to represent physical states satisfying Gauss law constraints. focus SU(2) in (2 + 1) dimensions. Following string-net model, we introduce regularization of Kogut-Susskind q deformation, which respects (discretized) gauge symmetry as quantum group, i.e., k , and enables implementation both classical algorithms by referring those model. Using regularized Hamiltonian, scars...

We discuss the quantum computation of dynamical chirality production in lattice gauge theory. Although a fermion is complicated general dimensions, it can be simply formulated on one-dimensional lattice. The chiral formalism enables us to extract physical part that would interpreted as anomaly continuous demonstrate <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>Z</a:mi><a:mn>2</a:mn></a:msub></a:math> theory classical emulator. Published by American...

A bstract We study one-flavor SU(2) and SU(3) lattice QCD in (1 + 1) dimensions at zero temperature finite density using matrix product states the renormalization group. compute physical observables such as equation of state, chiral condensate, quark distribution function functions baryon number density. As a implication, we discuss inhomogeneous phase nonzero density, where condensate is inhomogeneous, baryons form crystal. also how dynamical degrees freedom change from hadrons to quarks...

We simulate Floquet time evolution of a truncated SU(3) lattice Yang-Mills theory on two-leg ladder geometry under open boundary conditions using IBM’s superconducting 156-qubit device ibm_fez. To this end, we derive the quantum spin representation and compose circuit carefully tailored to hardware, reducing number controlled-Z gates. Since it is still challenging Hamiltonian in present noisy processors, make step size Suzuki-Trotter decomposition very large thermalization dynamics composed...

A bstract We propose a novel method to distinguish states of matter by identifying spontaneous symmetry breaking on extended objects, such as vortices, even in the absence bulk phase transition. As specific example, we investigate transition superfluid vortices Higgs-confinement crossover using U(1) gauge × global model (3 + 1) dimensions. This exhibits superfluidity and allows for between Higgs confinement regimes varying coupling constant from weak strong. demonstrate that, ℤ 2 flavor...

We show that complex Langevin simulation converges to a wrong result within the semiclassical analysis, by relating it Lefschetz-thimble path integral, when path-integral weight has different phases among dominant saddle points. Equilibrium solution of equation forms local distributions around Its ensemble average approximately becomes direct sum in each distribution, where relative them are dropped. propose taking these into account through reweighting, we can solve convergence problem....

A bstract We study SU(3) Yang-Mills theory in (2 + 1) dimensions based on networks of Wilson lines. With the help q deformation, respect (discretized) gauge symmetry as a quantum group, i.e., k , and may enable implementations classical algorithms by referring to those stringnet model. As demonstration, we perform mean-field computation groundstate theory, which is good agreement with conventional Monte Carlo simulation taking sufficiently large . The variational ansatz can be represented...

The potential between a heavy quark and an antiquark inside the quark-gluon plasma is studied on basis of gauge-gravity duality. A real-time complex ${V}_{Q\overline{Q}}(t,r)$ derived from Wilson loop, which evaluated by its gravity dual in Euclidean five-dimensional anti--de Sitter black hole metric. To make analytic continuation imaginary time to real time, specific variational configurations string world sheet metric are introduced. rapid approach stationary value found at scale...

We discuss the dispersion relations of Nambu-Goldstone (NG) modes associated with spontaneous breaking internal symmetries at finite temperature and/or density. show that type-A (I) and type-B (II) NG are linear quadratic in momentum, whose imaginary parts quartic, respectively. In both cases, real larger than when momentum is small, so can propagate far away. derive gap formula for presence a small explicit term. also gapped partners modes, coexist.

We introduce a two-dimensional non-Hermitian lattice model with an imaginary magnetic field and elucidate various unique features which are absent in Hermitian models real fields. To describe the field, we consider both Landau gauge symmetric gauge, related by generalized transformation, changing not only phase but also amplitude of wave function. discuss complex energy spectrum Aharonov-Bohm effect as examples properties due to independent transformation. show that does converge size is...

We discuss theoretically the non-Hermitian superfluid phase transition in one-dimensional two-component Fermi gases near $p$-wave Feshbach resonance accompanied by two-body loss associated with dipolar relaxation. point out that this system gives us an opportunity to explore interplay among various nontrivial properties such as universal thermodynamics at divergent scattering lengths, topological vanishing chemical potential, and Bardeen-Cooper-Schrieffer (BCS) Bose-Einstein condensate (BEC)...

We discuss spontaneous breaking of continuum symmetries, whose generators do explicitly depend on the spacetime coordinates. clarify relation between broken symmetries and elastic variables at both zero finite temperatures, and/or densities, show general counting rule that is model-independently determined by symmetry pattern. apply it to three intriguing examples: rotational, conformal, gauge symmetries.

Simulating nonequilibirum dynamics of a quantum many-body system is one the promising applications computing. We simulate time evolution one-dimensional <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi mathvariant="bold">Z</a:mi><a:mn>2</a:mn></a:msub></a:math> lattice gauge theory on IBM’s superconducting 156-qubit device, ibm_fez. consider Floquet circuit made Trotter decomposition Hamiltonian and focus its toward thermalization. Quantum simulation with...

The ab-initio simulation of quantum vortices in a Bose-Einstein condensate is performed by adopting the complex Langevin techniques. We simulate nonrelativistic boson field theory at finite chemical potential under rotation. In superfluid phase, are generated above critical angular velocity and circulation clearly quantized even presence fluctuations.

A bstract We derive the chiral kinetic theory under presence of a gravitational Riemann curvature. It is well-known that in there inevitably appears redundant ambiguous vector corresponding to choice Lorentz frame. reveal on top this conventional frame choosing vector, higher-order quantum correction brings an additional degrees freedom specify distribution function. Based framework, we new types fermionic transport, is, charge current and energy-momentum tensor induced by Such novel...

We apply a quantum teleportation protocol based on the Hayden-Preskill thought experiment to quantify how scrambling given evolution is. It has an advantage over direct measurement of out-of-time ordered correlators when used diagnose information in presence decoherence effects stemming from noisy device. demonstrate by applying it two physical systems: Ising spin chain and SU(2) lattice Yang-Mills theory. To this end, we numerically simulate time theories Hamiltonian formalism. The theory...

We compute the chiral magnetic effect (CME) in multi-Weyl semimetals (multi-WSMs) based on kinetic theory. Multi-WSMs are WSMs with multiple monopole charges that have nonlinear and anisotropic dispersion relations near Weyl points, we need to extend conventional computation of CME linear relations. The topological properties multi-WSMs investigated detail for not only static fields but also time-dependent (dynamic) ones. propose an experimental setup measure charge via nature hidden dynamic CME.

Many of the biological phenomena involve collective dynamics driven by self-propelled motion and nonequilibrium force (i.e., activity) that result in features unexpected from equilibrium physics. On other hand, experiments utilizing molecular motors, bacteria, mammalian cells have served as ideal setups to probe effect activity materials compare with theory. As has been established, however, biomolecules are chiral nature, which can lead patterning even left-right symmetry breaking our body....

We theoretically investigate non-Hermitian <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mi>p</a:mi></a:math>-wave Fermi superfluidity in one-dimensional spin-polarized gases which is relevant to recent ultracold atomic experiments. Considering an imaginary atom-dimer coupling responsible for the three-body recombination process Lindblad formalism, we discuss stability of superfluid state against loss effect. Within two-channel BCS-Eagles-Leggett theory, characterized by product...

Complex quantum many-body dynamics spread initially localized information across the entire system. Information scrambling refers to such a process, whose simulation is one of promising applications computing. We demonstrate Hayden-Preskill recovery protocol and interferometric for calculating out-of-time-ordered correlators study property one-dimensional kicked-Ising model on 20-qubit trapped-ion processors. The simulated circuits have geometrically local structure that exhibits ballistic...

We prescribe a formulation of the particle production with real-time Stochastic Quantization. To construct retarded and time-ordered propagators we decompose stochastic variables into positive- negative-energy parts. In this way demonstrate how to derive standard formula for Schwinger mechanism under time-dependent electric fields. discuss mapping Schwinger–Keldysh formalism relation classical statistical simulation.

We study the Nambu-Goldstone (NG) modes associated with spontaneous breaking of continuous time-translation symmetry. To discuss a quantum time-crystal spontaneously-broken symmetry, we introduce van der Pol type nonlinear-friction to open systems. By considering small fluctuations around time-periodic mean-field solution, show that gapless collective mode necessarily appears; this is nothing but NG time crystal. its dispersion relation becomes $ω=-iC\bm p^2$. also noncommutative and U(1)...