Signatures of Indistinguishability in Bosonic Many-Body Dynamics

Brünner, Tobias; Dufour, Gabriel; Rodríguez, Alejandra; Buchleitner, Andreas

doi:10.1103/physrevlett.120.210401

Cited by 25 publications

(25 citation statements)

References 66 publications

(77 reference statements)

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“…where we again use the notation e k |U |e j = U kj . The first step follows directly from (59), whereas the second step requires some combinatorics. The last equality is ultimately an application of the commutation (for bosons) or anti-commutation (for fermions) relations creation and annihilation operators, (39) and (40), respectively.…”

Section: Statistical Signatures and Random Matrix Theorymentioning

confidence: 99%

Signatures of many-particle interference

Walschaers¹

2020

J. Phys. B: At. Mol. Opt. Phys.

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Quantum systems with many constituents give rise to a range of conceptual, analytical and computational challenges, hence, the label "complex systems". In the first place, one can think of interactions, described by a manybody Hamiltonian, as the source of such complexity. However, it has gradually become clear that, even in absence of interactions, many-body systems are more than just the sum of their parts. This feature is due to many-body interference.One of the most well-known interference phenomena is the Hong-Ou-Mandel effect, where total destructive interference is observed for a pair of (noninteracting) identical photons. This two-photon interference effect can be generalised to systems of many particles which can be either fermionic or bosonic. The resulting many-particle interference goes beyond quantum statistical effects that are contained in the Bose-Einstein or Fermi-Dirac distributions, and is dynamical in nature.This Tutorial will introduce the mathematical framework for describing systems of identical particles, and explain the notion of indistinguishability. We will then focus our attention on dynamical systems of free particles and formally introduce the concept of many-particle interference. Its impact on manyparticle transition probabilities is computationally challenging to evaluate, and it becomes rapidly intractable for systems with large numbers of identical particles. Hence, this Tutorial will build up towards alternative, more efficient methods for observing signatures of many-particle interference. A first type of signatures relies on the detection of a highly sensitive -but also highly fragile-processes of total destructive interference that occurs in interferometers with a high degree of symmetry. A second class of signatures is based on the statistical features that arise when we study the typical behaviour of correlations between a small number of the interferometer's output ports. We will ultimately show how these statistical signatures of many-particle interference lead us to a statistical version of the Hong-Ou-Mandel effect.The work presented in this Tutorial was one of the four shortlisted finalists of the 2018 DPG SAMOP dissertation prize.

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Section: Statistical Signatures and Random Matrix Theorymentioning

confidence: 99%

Signatures of many-particle interference

Walschaers¹

2020

J. Phys. B: At. Mol. Opt. Phys.

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“…7) described in terms of a tilted Bose-Hubbard model [65][66][67]. Such a setting was studied, e.g., in the context of quantum chaos [68], superfluidity [69], and distinguishability [70]. Firstly, we fix the notation and write the Bose-Hubbard Hamiltonian in the absence of noise aŝ…”

Section: Many-body (Bosons) Dynamics With Strongly Correlated Noisementioning

confidence: 99%

Protecting quantum coherences from static noise and disorder

Kropf

2020

Phys. Rev. Research

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Quantum coherences are paramount resources for applications, such as quantum-enhanced light-harvesting or quantum computing, which are fragile against environmental noise. We here derive generalized quantum master equations using perturbation theory in order to describe the effective time evolution of finite-size quantum systems subject to static noise on all time scales. We then analyze the time evolution of the coherences under energy broadening noise in a variety of systems characterized by both short-and long-range interactions and by strongly correlated and fully uncorrelated noise-a single qubit, a lattice model with on-site disorder and a potential ladder, and a Bose-Hubbard dimer with random interaction strength-and show that couplings can partially protect the system from the ensemble-averaging induced loss of coherence. Our work suggests that suitably tuned couplings could be employed to counteract part of the dephasing detrimental to quantum applications. Conversely, tailored noise distributions can be utilized to reach target nonequilibrium quantum states.

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“…Ultimately, this microscopic behavior is driven by the same cause as the macroscopic behavior of liquids, solids and gases. By increasing the number of particles and modes involved in the experiment [22], however, one encounters various surprising aspects, due to the interplay of many-body complexity and many-body coherence [63,64].…”

Section: B Two-particle Interference and The Hom Effectmentioning

confidence: 99%

The Hong–Ou–Mandel Effect With Atoms

Kaufman¹,

Tichy²,

Mintert³

et al. 2018

Advances in Atomic, Molecular, and Optical Physics

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Controlling light at the level of individual photons has led to advances in fields ranging from quantum information and precision sensing to fundamental tests of quantum mechanics. A central development that followed the advent of single photon sources was the observation of the Hong-Ou-Mandel (HOM) effect, a novel two-photon path interference phenomenon experienced by indistinguishable photons. The effect is now a central technique in the field of quantum optics, harnessed for a variety of applications such as diagnosing single photon sources and creating probabilistic entanglement in linear quantum computing. Recently, several distinct experiments using atomic sources have realized the requisite control to observe and exploit Hong-Ou-Mandel interference of atoms. This article provides a summary of this phenomenon and discusses some of its implications for atomic systems. Transitioning from the domain of photons to atoms opens new perspectives on fundamental concepts, such as the classification of entanglement of identical particles. It aids in the design of novel probes of quantities such as entanglement entropy by combining well established tools of AMO physics -unity single-atom detection, tunable interactions, and scalability -with the Hong-Ou-Mandel interference. Furthermore, it is now possible for established protocols in the photon community, such as measurement-induced entanglement, to be employed in atomic experiments that possess deterministic single-particle production and detection. Hence, the realization of the HOM effect with atoms represents a productive union of central ideas in quantum control of atoms and photons.

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Signatures of Indistinguishability in Bosonic Many-Body Dynamics

Cited by 25 publications

References 66 publications

Signatures of many-particle interference

Signatures of many-particle interference

Protecting quantum coherences from static noise and disorder

The Hong–Ou–Mandel Effect With Atoms

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