Professor Fabian Essler: Publications

Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium

(2018)

Authors:

Yuri D van Nieuwkerk, Fabian HL Essler

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Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy

SciPost Physics Stichting SciPost 5:6 (2018) 059

Authors:

Satoshi Ejima, Tomoki Yamaguchi, Fabian Essler, Florian Lange, Yukinori Ohta, Holger Fehske

Abstract:

We consider the dimerized spin-1 XXZ chain with single-ion anisotropy D. In absence of an explicit dimerization there are three phases: a large-$D$, an antiferromagnetically ordered and a Haldane phase. This phase structure persists up to a critical dimerization, above which the Haldane phase disappears. We show that for weak dimerization the phases are separated by Gaussian and Ising quantum phase transitions. One of the Ising transitions terminates in a critical point in the universality class of the dilute Ising model. We comment on the relevance of our results to experiments on quasi-one-dimensional anisotropic spin-1 quantum magnets.

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Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy

(2018)

Authors:

Satoshi Ejima, Tomoki Yamaguchi, Fabian HL Essler, Florian Lange, Yukinori Ohta, Holger Fehske

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Projective phase measurements in one-dimensional Bose gases

SciPost Physics Stichting SciPost 5:5 (2018) 046

Authors:

Yuri Daniel van Nieuwkerk, Jörg Schmiedmayer, Fabian Essler

Abstract:

We consider time-of-flight measurements in split one-dimensional Bose gases. It is well known that the low-energy sector of such systems can be described in terms of two compact phase fields

\hat{\phi}_{a,s}(x)

ϕ̂a,s(x). Building on existing results in the literature we discuss how a single projective measurement of the particle density after trap release is in a certain limit related to the eigenvalues of the vertex operator

e^{i\hat{\phi}_a(x)}

eiϕ̂a(x). We emphasize the theoretical assumptions underlying the analysis of “single-shot” interference patterns and show that such measurements give direct access to multi-point correlation functions of

e^{i\hat{\phi}_a(x)}

eiϕ̂a(x) in a substantial parameter regime. For experimentally relevant situations, we derive an expression for the measured particle density after trap release in terms of convolutions of the eigenvalues of vertex operators involving both sectors of the two-component Luttinger liquid that describes the low-energy regime of the split condensate. This opens the door to accessing properties of the symmetric sector via an appropriate analysis of existing experimental data.

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NMR relaxation in Ising spin chains

(2018)

Authors:

Julia Steinberg, NP Armitage, Fabian HL Essler, Subir Sachdev

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Professor Fabian Essler

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Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium

Authors:

Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy

Authors:

Abstract:

Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy

Authors:

Projective phase measurements in one-dimensional Bose gases

Authors:

Abstract:

NMR relaxation in Ising spin chains

Authors:

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Professor Fabian Essler

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Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium

Authors:

Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy

Authors:

Abstract:

Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy

Authors:

Projective phase measurements in one-dimensional Bose gases

Authors:

Abstract:

NMR relaxation in Ising spin chains

Authors: