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Ultracold atoms out of equilibrium (1408.6377v1)

Published 27 Aug 2014 in cond-mat.quant-gas, cond-mat.stat-mech, and quant-ph

Abstract: The relaxation of isolated quantum many-body systems is a major unsolved problem connecting statistical and quantum physics. Studying such relaxation processes remains a challenge despite considerable efforts. Experimentally, it requires the creation and manipulation of well-controlled and truly isolated quantum systems. In this context, ultracold neutral atoms provide unique opportunities to understand non-equilibrium phenomena because of the large set of available methods to isolate, manipulate and probe these systems. Here, we give an overview of the rapid experimental progress that has been made in the field over the last years and highlight some of the questions which may be explored in the future.

Citations (272)

Summary

  • The paper demonstrates that ultracold atoms provide a versatile platform to study non-equilibrium dynamics via quantum quenches and prethermalization experiments.
  • It applies cutting-edge methods like Feshbach resonances and optical lattice techniques to probe relaxation mechanisms and challenge the eigenstate thermalization hypothesis.
  • The findings have broad implications for quantum simulation, impacting research areas from cosmology to high-energy physics and quantum computing.

Overview of Ultracold Atoms Out of Equilibrium

The paper "Ultracold atoms out of equilibrium" by Langen, Geiger, and Schmiedmayer explores the non-equilibrium dynamics of isolated quantum many-body systems, a critical area bridging statistical mechanics and quantum physics. Utilizing ultracold atoms as a platform, the paper reviews recent experimental advancements that provide substantial insights into non-equilibrium quantum phenomena.

Statistical mechanics traditionally assumes systems in thermal equilibrium, with energy exchange facilitated by coupling to a large reservoir. This viewpoint necessitates understanding if truly isolated systems can achieve thermal equilibrium on their own—a contention well-understood in classical contexts but elusive in quantum systems. The authors focus on ultracold atomic gases as a versatile experimental platform to scrutinize these systems free from environmental interactions while maintaining precise controllability for realistic simulations.

The concept of a quantum quench is employed extensively as a protocol to paper relaxation mechanisms. In a quantum quench, a system undergoes a sudden change in Hamiltonian, subsequently allowing observation of time evolution toward potential equilibrium states. Despite the expectation of thermal states in quantum systems, the unitary time evolution intrinsic to quantum mechanics suggests that complete memory loss of an initial state seems impossible. Yet, phenomena such as the eigenstate thermalization hypothesis (ETH) have proposed that isolated systems may exhibit thermal-like properties, even in absence of interaction with a heat bath. Numerical and theoretical work supports ETH under specific conditions; however, experimental verification remains limited.

The paper navigates through experimental methods and outcomes associated with ultracold atomic systems. Through the manipulation of interactions via Feshbach resonances, researchers are capable of probing various dynamical regimes. Experimental observations, such as those of coherent superposition collapses and revivals in optical lattices, reinforce that ultracold atomic systems offer unique opportunities for mapping complex quantum dynamics.

Key experimental results include observing relaxation behaviors such as prethermalization, wherein systems relax to long-lived non-equilibrium states, and direct measurements of integrability's impact on thermalization. For example, the "quantum Newton's cradle" experiment where 1D Bose gases exhibited prolonged non-thermal distributions underscores the significant role of integrability in delaying thermalization.

The implications of these findings are manifold. Ultracold atoms serve as quantum simulators capable of emulating conditions across fields like cosmology and high-energy physics which are otherwise inaccessible. As isolation from the environment and parameter tunability advance, ultracold systems are poised to deepen our understanding of dynamics described by statistical mechanics, universality, and the fundamental principles governing thermalization.

The paper highlights future avenues including more refined studies of transport phenomena and integration with quantum computing to enhance the understanding of non-equilibrium dynamics. This pushes the envelope of quantum statistical physics, setting the stage for potential revolutionary developments in controlling and manipulating quantum systems.

The work by Langen and his colleagues thus serves as an foundational reference on ultracold atomic systems as exemplary models to paper non-equilibrium quantum dynamics, offering a laboratory for theoretical conjectures to evolve into empirically-supported science. The exploration and manipulation of ultracold atoms lead not only to greater theoretical insights but also to potential technological advancements across quantum information and beyond.