4.6 Article

An eccentrically perturbed Tonks-Girardeau gas

Journal

NEW JOURNAL OF PHYSICS
Volume 12, Issue -, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/12/9/093041

Keywords

-

Funding

  1. National Research Foundation
  2. Ministry of Education, Singapore
  3. Science Foundation Ireland [05/IN/I852]
  4. IRCSET under the Embark Initiative [RS/2009/1082]
  5. Polish Government
  6. Science Foundation Ireland (SFI) [05/IN/I852] Funding Source: Science Foundation Ireland (SFI)

Ask authors/readers for more resources

We investigate the static and dynamic properties of a Tonks-Girardeau gas in a harmonic trap with an eccentric delta-perturbation of variable strength. For this, we first find the analytic eigensolution of the single particle problem and then use this solution to calculate the spatial density and energy profiles of the many-particle gas as a function of the strength and position of the perturbation. We find that the crystal nature of the Tonks state is reflected in both the lowest occupation number and the momentum distribution of the gas. As a novel application of our model, we study the time evolution of the spatial density after the sudden removal of the perturbation. The dynamics exhibits collapses and revivals of the original density distribution, which occur in units of the trap frequency. This is reminiscent of the Talbot effect from classical optics.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Physics, Multidisciplinary

Connecting Scrambling and Work Statistics for Short-Range Interactions in the Harmonic Oscillator

M. Mikkelsen, T. Fogarty, Th Busch

Summary: This study investigates the relationship between information scrambling and work statistics for short-range interacting particles in a one-dimensional harmonic trap. It finds that scrambling requires finite interactions and establishes a connection between scrambling properties and induced work fluctuations, which are directly observable in modern cold-atom experiments.

PHYSICAL REVIEW LETTERS (2022)

Editorial Material Physics, Multidisciplinary

Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate

Tim Keller, Thomas Fogarty, Thomas Busch

Summary: The study demonstrates that a Tonks-Girardeau gas in a Bose-Einstein condensate can transition to a crystal-like Mott state without an externally imposed lattice potential. The phase transition depends on the interspecies interaction and temperature of the TG gas and can be measured through accessible observables in cold atom experiments. An effective model was also developed to accurately describe the system in the pinned insulator state and derive the critical temperature of the transition.

PHYSICAL REVIEW LETTERS (2022)

Article Physics, Multidisciplinary

Quantum control and quantum speed limits in supersymmetric potentials

C. Campbell, J. Li, Th Busch, T. Fogarty

Summary: Supersymmetry allows for the construction of a hierarchy of Hamiltonians with common spectral properties and connected through super-potentials. The iso-spectral properties of these Hamiltonians connect the dynamics and control of different eigenstates through supersymmetric intertwining relations. In this work, we explore how this property enables the study of general dynamics, shortcuts to adiabaticity, and quantum speed limits for different states of distinct supersymmetric partner potentials using the infinite box as an example.

NEW JOURNAL OF PHYSICS (2022)

Article Physics, Multidisciplinary

Extensive Multipartite Entanglement from su(2) Quantum Many-Body Scars

Jean-Yves Desaules, Francesca Pietracaprina, Zlatko Papi, John Goold, Silvia Pappalardi

Summary: Recent experimental observation of weak ergodicity breaking in Rydberg atom quantum simulators has sparked interest in quantum many-body scars—eigenstates which evade thermalization at finite energy densities due to novel mechanisms that do not rely on integrability or protection by a global symmetry. In this Letter, we demonstrate that such exact many-body scars also possess extensive multipartite entanglement structure if they stem from an su(2) spectrum generating algebra. We show this analytically, through scaling of the quantum Fisher information, which is found to be superextensive for exact scarred eigenstates in contrast to generic thermal states. Furthermore, we numerically study signatures of multipartite entanglement in the PXP model of Rydberg atoms, showing that extensive quantum Fisher information density can be generated dynamically by performing a global quench experiment. Our results identify a rich multipartite correlation structure of scarred states with significant potential as a resource in quantum enhanced metrology.

PHYSICAL REVIEW LETTERS (2022)

Article Quantum Science & Technology

Evidence of Kardar-Parisi-Zhang scaling on a digital quantum simulator

Nathan Keenan, Niall F. Robertson, Tara Murphy, Sergiy Zhuk, John Goold

Summary: In this study, we digitally simulate the quantum dynamics of a spin-21 XXZ spin chain on a noisy near-term quantum device, and extract the high temperature transport exponent at the isotropic point. By simulating the temporal decay of the relevant spin correlation function using a pseudo-random state generated by a tailored random circuit on the ibmq-montreal 27 qubit device, we observe a spin excitation on a homogeneous background. The subsequent discrete time dynamics on the device reveal an anomalous super-diffusive exponent consistent with the conjectured Kardar-Parisi-Zhang (KPZ) scaling at the isotropic point. Furthermore, we restore spin diffusion by applying an integrability breaking potential.

NPJ QUANTUM INFORMATION (2023)

Article Physics, Multidisciplinary

Quantum chaos in interacting Bose-Bose mixtures

Tran Duong Anh-Tai, Mathias Mikkelsen, Thomas Busch, Thomas Fogarty

Summary: We systematically study the emergence of quantum chaos in a minimal system of one-dimensional harmonically trapped Bose-Bose mixtures by tuning the particle-particle interactions. Using improved exact diagonalization scheme, we show that one can obtain strong signatures of chaos by increasing the inter-component interaction strength and breaking the symmetry of intra-component interactions.

SCIPOST PHYSICS (2023)

Article Optics

Deterministic quantum computation with one-clean-qubit model as an open quantum system

Jake Xuereb, Steve Campbell, John Goold, Andre Xuereb

Summary: We examine the deterministic quantum computation with one-clean-qubit model (DQC1) complexity class as an open quantum system. We show that the evolution of the logical qubit in any algorithm in the complexity class can be described as an open quantum system undergoing unital dynamics. Unital quantum channels respect the Tasaki-Crooks fluctuation theorem, which is captured by the thermodynamics of the logical qubit. As an application, we investigate the equilibrium and nonequilibrium thermodynamics of the DQC1 trace estimation algorithm, revealing the impact of computational inputs and logical qubit temperature on the algorithm's quality and fluctuations experienced.

PHYSICAL REVIEW A (2023)

Article Physics, Multidisciplinary

Entropy of the quantum work distribution

Anthony Kiely, Eoin O'Connor, Thomas Fogarty, Gabriel T. Landi, Steve Campbell

Summary: The statistics of work on a quantum system can be measured using a two-point measurement scheme. By analyzing the Shannon entropy of the work distribution, we find a general upper bound determined by the initial diagonal entropy and a quantum term related to the relative entropy of coherence. Our approach effectively captures important physical characteristics in various scenarios. In particular, we study the Aubry-Andre-Harper model and demonstrate that the entropy of the work distribution accurately reflects the physics of the localization transition, which is not evident from statistical moments.

PHYSICAL REVIEW RESEARCH (2023)

Article Optics

Distributed quantum sensing with optical lattices

Jose Carlos Pelayo, Karol Gietka, Thomas Busch

Summary: In distributed quantum sensing, correlations between multiple modes of a photonic system are used to improve the precision of measuring an unknown parameter. This study investigates the metrological potential of a multimode, tilted Bose-Hubbard system and demonstrates that it can achieve parameter estimation at the Heisenberg limit. By optimizing the initial state, the limit can be reached without requiring correlations between different modes. Furthermore, strategies are proposed to obtain quadratic dependence on the number of modes in a more realistic experimental setup.

PHYSICAL REVIEW A (2023)

Article Physics, Multidisciplinary

Interaction-enhanced quantum heat engine

Mohamed Boubakour, Thomas Fogarty, Thomas Busch

Summary: We study a minimal quantum Otto heat engine with an interacting few-body system in a harmonic trap, where the interaction strength is considered as an additional tunable parameter during the work strokes. By calculating the figures of merit of the engine as a function of temperature, we clearly show in which parameter regimes the interactions assist in engine performance. We also compare the interaction-enhanced cycle with the case where the system remains scale-invariant, studying the finite-time dynamics and the subsequent tradeoff between efficiency and power.

PHYSICAL REVIEW RESEARCH (2023)

Article Optics

Direction-dependent coupling between a nanofiber-guided light field and a two-level atom with an electric quadrupole transition

Fam Le Kien, Sile Nic Chormaic, Thomas Busch

Summary: This study investigates the directional dependence of the coupling between a nanofiber-guided light field and a two-level atom with an electric quadrupole transition. It is found that the absolute value of the quadrupole Rabi frequency depends on the propagation direction of the light field in certain cases. The directional dependence of the coupling leads to directional dependence of spontaneous emission into guided modes. The study also reveals that the directional dependence of the atom-field coupling in the case of quadrupole transitions is not solely due to spin-orbit coupling of light, but also involves contributions from the gradient of the spatial phase factor of the field.

PHYSICAL REVIEW A (2023)

Article Physics, Multidisciplinary

Nonequilibrium many-body dynamics in supersymmetric quenching

Christopher Campbell, Thomas Fogarty, Thomas Busch

Summary: We study the dynamics of an ultracold quantum many-body system when quenching between two super-symmetric Hamiltonians. We show that the dynamics can be conveniently described using knowledge about the initial state only. In the case of a fermionic gas initially trapped in an infinite box potential, we observe many-body revivals when quenching to higher order supersymmetric partner potentials, with some revivals being robust at finite temperatures.

PHYSICAL REVIEW RESEARCH (2022)

Article Materials Science, Multidisciplinary

Dephasing-enhanced performance in quasiperiodic thermal machines

Cecilia Chiaracane, Archak Purkayastha, Mark T. Mitchison, John Goold

Summary: Understanding and controlling quantum transport in low-dimensional systems is crucial for heat management at the nanoscale. This study investigates the effect of quasiperiodic disorder, which induces fractality in the energy spectrum, on the thermal and electric conductivities of a noninteracting model. The research finds that the presence of dephasing noise enhances transport in the subdiffusive regime and leads to multiple peaks in both thermal and electric conductivities, violating the Wiedemann-Franz law. This feature can be utilized to enhance the performance of quantum thermal machines.

PHYSICAL REVIEW B (2022)

Article Optics

Taking the temperature of a pure quantum state

Mark T. Mitchison, Archak Purkayastha, Marlon Brenes, Alessandro Silva, John Goold

Summary: This study proposes a scheme to measure the temperature of pure states through quantum interference, showing that even individual pure quantum states can have temperatures in completely isolated quantum systems.

PHYSICAL REVIEW A (2022)

No Data Available