scholarly journals Experimentally Accessible Witnesses of Many-Body Localization

2019 ◽  
Vol 1 (1) ◽  
pp. 50-62 ◽  
Author(s):  
Marcel Goihl ◽  
Mathis Friesdorf ◽  
Albert H. Werner ◽  
Winton Brown ◽  
Jens Eisert
Keyword(s):  
Statistical Physics ◽  
Optical Lattices ◽  
Cold Atoms ◽  
Quantum Statistical Mechanics ◽  
Quantum Systems ◽  
Many Body ◽  
Physical Systems ◽  
Tensor Network ◽  
Distinct Features ◽  
Flight Measurements

The phenomenon of many-body localized (MBL) systems has attracted significant interest in recent years, for its intriguing implications from a perspective of both condensed-matter and statistical physics: they are insulators even at non-zero temperature and fail to thermalize, violating expectations from quantum statistical mechanics. What is more, recent seminal experimental developments with ultra-cold atoms in optical lattices constituting analog quantum simulators have pushed many-body localized systems into the realm of physical systems that can be measured with high accuracy. In this work, we introduce experimentally accessible witnesses that directly probe distinct features of MBL, distinguishing it from its Anderson counterpart. We insist on building our toolbox from techniques available in the laboratory, including on-site addressing, super-lattices, and time-of-flight measurements, identifying witnesses based on fluctuations, density–density correlators, densities, and entanglement. We build upon the theory of out of equilibrium quantum systems, in conjunction with tensor network and exact simulations, showing the effectiveness of the tools for realistic models.

scholarly journals Probing the edge between integrability and quantum chaos in interacting few-atom systems

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 486
Author(s):  
Thomás Fogarty ◽  
Miguel Ángel García-March ◽  
Lea F. Santos ◽  
Nathan L. Harshman
Keyword(s):  
Quantum Chaos ◽  
Cold Atoms ◽  
Quantum Systems ◽  
Particle Interactions ◽  
Body System ◽  
Many Body ◽  
One Dimensional ◽  
The Core ◽  
Emergence Of Chaos ◽  
Number Of Particles

Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum model for chaos that can be experimentally realized with cold atoms trapped in one-dimensional multi-well potentials. We explore the emergence of chaos as the number of particles is increased, starting with as few as two, and as the number of wells is increased, ranging from a double well to a multi-well Kronig-Penney-like system. In this way, we illuminate the narrow boundary between integrability and chaos in a highly tunable few-body system. We show that the competition between the particle interactions and the periodic structure of the confining potential reveals subtle indications of quantum chaos for 3 particles, while for 4 particles stronger signatures are seen. The analysis is performed for bosonic particles and could also be extended to distinguishable fermions.

scholarly journals DECONFINEMENT AND COLD ATOMS IN OPTICAL LATTICES

2006 ◽  
Vol 20 (30n31) ◽  
pp. 5169-5178
Author(s):  
M. A CAZALILLA ◽  
A. F. HO ◽  
T. GIAMARCHI
Keyword(s):  
Optical Lattices ◽  
Cold Atoms ◽  
Three Dimensional ◽  
Optical Traps ◽  
High Dimensional ◽  
Interacting Particles ◽  
Controllable System ◽  
One Dimensional ◽  
Physical Systems ◽  
The One

Despite the fact that by now one dimensional and three dimensional systems of interacting particles are reasonably well understood, very little is known on how to go from the one dimensional physics to the three dimensional one. This is in particular true in a quasi-one dimensional geometry where the hopping of particles between one dimensional chains or tubes can lead to a dimensional crossover between a Luttinger liquid and more conventional high dimensional states. Such a situation is relevant to many physical systems. Recently cold atoms in optical traps have provided a unique and controllable system in which to investigate this physics. We thus analyze a system made of coupled one dimensional tubes of interacting fermions. We explore the observable consequences, such as the phase diagram for isolated tubes, and the possibility to realize unusual superfluid phases in coupled tubes systems.

MAGNETIC MICROTRAPS FOR QUANTUM CONTROL

2007 ◽  
Vol 05 (01n02) ◽  
pp. 23-31 ◽  
Author(s):  
IVAN HERRERA ◽  
GIUSEPPE D'ARRIGO ◽  
MARIO SICILIANI DE CUMIS ◽  
FRANCESCO SAVERIO CATALIOTTI
Keyword(s):  
State Physics ◽  
Solid State ◽  
Ultracold Atoms ◽  
Quantum Control ◽  
Optical Lattices ◽  
Condensed Matter ◽  
Quantum Simulation ◽  
Quantum Systems ◽  
Solid State Physics ◽  
Physical Systems

We will review the realization of magnetic microtraps for ultracold atoms. Such devices combine experimental simplicity with unsurpassed versatility in designing confining potentials. We will show how combining magnetic microtraps with optical lattices one can realize many possible quantum systems of interest in many fields ranging from solid state physics to condensed matter. We will also illustrate new possibilities in the quantum simulation of different physical systems.

scholarly journals BOGOLIUBOV'S VISION: QUASIAVERAGES AND BROKEN SYMMETRY TO QUANTUM PROTECTORATE AND EMERGENCE

2010 ◽  
Vol 24 (08) ◽  
pp. 835-935 ◽  
Author(s):  
A. L. KUZEMSKY
Keyword(s):  
Symmetry Breaking ◽  
Statistical Physics ◽  
Quantum Physics ◽  
Quantum Statistical Mechanics ◽  
Microscopic Theory ◽  
Many Body ◽  
Symmetry Principles ◽  
Modern Physics ◽  
Innovative Idea ◽  
The Many

In the present interdisciplinary review, we focus on the applications of the symmetry principles to quantum and statistical physics in connection with some other branches of science. The profound and innovative idea of quasiaverages formulated by N. N. Bogoliubov, gives the so-called macro-objectivation of the degeneracy in the domain of quantum statistical mechanics, quantum field theory and quantum physics in general. We discuss the complementary unifying ideas of modern physics, namely: spontaneous symmetry breaking, quantum protectorate and emergence. The interrelation of the concepts of symmetry breaking, quasiaverages and quantum protectorate was analyzed in the context of quantum theory and statistical physics. The chief purposes of this paper were to demonstrate the connection and interrelation of these conceptual advances of the many-body physics and to try to show explicitly that those concepts, though different in details, have certain common features. Several problems in the field of statistical physics of complex materials and systems (e.g., the chirality of molecules) and the foundations of the microscopic theory of magnetism and superconductivity were discussed in relation to these ideas.

scholarly journals Tensor-network approach for quantum metrology in many-body quantum systems

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
Krzysztof Chabuda ◽  
Jacek Dziarmaga ◽  
Tobias J. Osborne ◽  
Rafał Demkowicz-Dobrzański
Keyword(s):  
Quantum Systems ◽  
Quantum Metrology ◽  
Network Approach ◽  
Many Body ◽  
Tensor Network

scholarly journals Bounding the resources for thermalizing many-body localized systems

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Carlo Sparaciari ◽  
Marcel Goihl ◽  
Paul Boes ◽  
Jens Eisert ◽  
Nelly Huei Ying Ng
Keyword(s):  
Heat Bath ◽  
Quantum Systems ◽  
External Heat ◽  
Upper And Lower Bounds ◽  
Body System ◽  
Heisenberg Chain ◽  
Many Body ◽  
Physical Systems ◽  
Collision Models ◽  
Standing Question

AbstractUnderstanding under which conditions physical systems thermalize is a long-standing question in many-body physics. While generic quantum systems thermalize, there are known instances where thermalization is hindered, for example in many-body localized (MBL) systems. Here we introduce a class of stochastic collision models coupling a many-body system out of thermal equilibrium to an external heat bath. We derive upper and lower bounds on the size of the bath required to thermalize the system via such models, under certain assumptions on the Hamiltonian. We use these bounds, expressed in terms of the max-relative entropy, to characterize the robustness of MBL systems against externally-induced thermalization. Our bounds are derived within the framework of resource theories using the convex split lemma, a recent tool developed in quantum information. We apply our results to the disordered Heisenberg chain, and numerically study the robustness of its MBL phase in terms of the required bath size.

scholarly journals Multiparticle quantum plasmonics

Nanophotonics ◽  
2020 ◽  
Vol 9 (6) ◽  
pp. 1243-1269 ◽  
Author(s):  
Chenglong You ◽  
Apurv Chaitanya Nellikka ◽  
Israel De Leon ◽  
Omar S. Magaña-Loaiza
Keyword(s):  
Quantum Dynamics ◽  
Degrees Of Freedom ◽  
Single Photon ◽  
Quantum Systems ◽  
Many Body ◽  
Statistical Fluctuations ◽  
Quantum Plasmonics ◽  
Control Of Quantum Systems ◽  
Multiparticle Systems ◽  
Quantum Photonics

AbstractA single photon can be coupled to collective charge oscillations at the interfaces between metals and dielectrics forming a single surface plasmon. The electromagnetic near-fields induced by single surface plasmons offer new degrees of freedom to perform an exquisite control of complex quantum dynamics. Remarkably, the control of quantum systems represents one of the most significant challenges in the field of quantum photonics. Recently, there has been an enormous interest in using plasmonic systems to control multiphoton dynamics in complex photonic circuits. In this review, we discuss recent advances that unveil novel routes to control multiparticle quantum systems composed of multiple photons and plasmons. We describe important properties that characterize optical multiparticle systems such as their statistical quantum fluctuations and correlations. In this regard, we discuss the role that photon-plasmon interactions play in the manipulation of these fundamental properties for multiparticle systems. We also review recent works that show novel platforms to manipulate many-body light-matter interactions. In this spirit, the foundations that will allow nonexperts to understand new perspectives in multiparticle quantum plasmonics are described. First, we discuss the quantum statistical fluctuations of the electromagnetic field as well as the fundamentals of plasmonics and its quantum properties. This discussion is followed by a brief treatment of the dynamics that characterize complex multiparticle interactions. We apply these ideas to describe quantum interactions in photonic-plasmonic multiparticle quantum systems. We summarize the state-of-the-art in quantum devices that rely on plasmonic interactions. The review is concluded with our perspective on the future applications and challenges in this burgeoning field.

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