Confinement: a real-time visualization

Abstract

Due to the mechanism of confinement, as known from quantum chromodynamics, it is difficult to observe individual particles carrying fractional quantum number (e.g. quark with fractional electric charge). A condensed matter example of fractionalized particles is spinons in quasi-one-dimensional spin systems, which are domain walls in the background of Neel configurations carrying spin-1/2. Using the time-evolving block decimation algorithm, we visualize the nontrivial domain wall dynamics induced by the confine mechanism in a two-leg spin-1/2 ladder. It can be illustrated by a simple single-particle picture of Bloch oscillation, not only qualitatively but also quantitatively. We propose the experimental realization and the real time detection of the domain wall dynamics in the ultra-cold boson systems of ${}^{87}$Rb.

4.1 pages, 5 figures

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Cited by in corpus (9)

• Quasilocalized dynamics from confinement of quantum excitations
• False vacuum decay in quantum spin chains
• Suppression of transport in non-disordered quantum spin chains due to confined excitations
• Real-time dynamics of string breaking in quantum spin chains
• Tuning the Topological $\theta$-Angle in Cold-Atom Quantum Simulators of Gauge Theories
• Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator
• Transfer matrix approach to the persistent current in hybrid normal-superconducting rings
• Quenches and confinement in a Heisenberg-Ising spin ladder
• Detecting Confined and Deconfined Spinons in Dynamical Quantum Simulations