Experimental characterization of the quantum many-body localization transition

Gong, Ming; Neto, G. D. de Moraes; Zha, Chen; Wu, Yulin; Rong, Hao; Ye, Yangsen; Li, Shaowei; Zhu, Qing–Ling; Wang, Shiyu; Zhao, Youwei; Liang, Futian; Lin, Jin; Xu, Yu; Peng, Cheng-Zhi; Deng, Hui; Bayat, Abolfazl; Zhu, Xiaobo; Pan, Jian-Wei

doi:10.1103/physrevresearch.3.033043

Cited by 42 publications

(23 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We emphasize the fact that this system was widely studied in the context of MBL and the existence of a many-body mobility edge separating an ergodic and a localized phase has been demonstrated both theoretically and experimentally [43,45,46]. More specifically, while for weak disorder the system is chaotic and satisfies the eigenstate thermalization hypothesis (ETH), if the amount of disorder surpasses a certain critical threshold there is a transition to an MBL phase and the system does not thermalize.…”

Section: General Framework 21 Physical Modelmentioning

confidence: 91%

“…Despite that in this first part we have shown a close relationship between the entanglement of the initial state of the environment and its capability of enabling redundancy, it is important to notice that until now we have restricted entirely to the middle of the spectrum by considering the eigenstate with energy closest to = 0.5 in all simulations. However, the value of the critical disorder h c depends on the energy under consideration, which determines what is called a many-body mobility edge [40][41][42][43][44][45][46][47]50,51]. For this reason, it is worthy to study how our Darwinistic measure LR behaves when considering different eigenstates of ĤE as initial states.…”

Section: Localization In the Initial Statementioning

confidence: 99%

“…To do so, we use as an environmental model a disordered spin chain widely studied in the context of many-body localization (MBL) [38][39][40][41][42][43][44]. This system exhibits an ergodic or a localized behaviour, depending on its energy and disorder strength, which sets a many-body mobility edge that has been estimated both theoretically and experimentally [45][46][47]. Thereby, by coupling a two-level quantum system to this disordered environment, we study the proliferation of redundant information both in the ergodic and localized phase.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Many-Body Localization and the Emergence of Quantum Darwinism

Mirkin

Wisniacki

2021

Entropy

View full text Add to dashboard Cite

Quantum Darwinism (QD) is the process responsible for the proliferation of redundant information in the environment of a quantum system that is being decohered. This enables independent observers to access separate environmental fragments and reach consensus about the system’s state. In this work, we study the effect of disorder in the emergence of QD and find that a highly disordered environment is greatly beneficial for it. By introducing the notion of lack of redundancy to quantify objectivity, we show that it behaves analogously to the entanglement entropy (EE) of the environmental eigenstate taken as an initial state. This allows us to estimate the many-body mobility edge by means of our Darwinistic measure, implicating the existence of a critical degree of disorder beyond which the degree of objectivity rises the larger the environment is. The latter hints the key role that disorder may play when the environment is of a thermodynamic size. At last, we show that a highly disordered evolution may reduce the spoiling of redundancy in the presence of intra-environment interactions.

show abstract

Section: General Framework 21 Physical Modelmentioning

confidence: 91%

Section: Localization In the Initial Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Many-Body Localization and the Emergence of Quantum Darwinism

Mirkin

Wisniacki

2021

Entropy

View full text Add to dashboard Cite

show abstract

“…These solid-state systems are extremely flexible not only in terms of geometric design, but also in terms of the type of processes that one can engineer on them. Currently, 2D arrays with up to 66 bosonic modes have been developed and used to explore quantum advantage [59][60][61], discrete time crystals [62,63], localization and thermalization [64][65][66][67], as well as quantum walks and topological phenomena [68][69][70][71]. Here, the intrinsic energies of the bosonic modes are on the microwave domain, where we are able to synthesize coherent drives with arbitrary spectral profiles.…”

Section: Introductionmentioning

confidence: 99%

Collectively pair-driven-dissipative bosonic arrays: exotic and self-oscillatory condensates

Chen¹,

Navarrete-Benlloch²

2021

Preprint

View full text Add to dashboard Cite

Modern quantum platforms such as superconducting circuits provide exciting opportunities for the experimental exploration of driven-dissipative many-body systems in unconventional regimes. One of such regimes occurs in bosonic systems, where nowadays one can induce driving and dissipation through pairs of excitations, rather than the conventional single-excitation or linear processes. Moreover, modern platforms can be driven in a way in which the modes of the bosonic array decay collectively rather than locally, such that the pairs of excitations recorded by the environment do not come from a specific lattice site, but by a coherent superposition of all sites. In this work we analyze the superfluid phases accessible to bosonic arrays subject to these novel mechanisms more characteristic of quantum optics, which we prove to lead to remarkable spatiotemporal properties beyond the traditional scope of pattern formation in condensed-matter systems or nonlinear optics alone.In particular, we show that, even in the presence of residual local loss, the system is stabilized into an exotic state with bosons condensed along the modes of a closed manifold in Fourier space, with a distribution of the population among these Fourier modes that can be controlled via a weak bias (linear) drive. This gives access to a plethora of different patterns, ranging from periodic and quasiperiodic ones with tunable spatial wavelength, to homogeneously-populated closed-Fourier-manifold condensates that are thought to play an important role in some open problems of condensed-matter physics. Moreover, we show that when any residual local linear dissipation is balanced with pumping, new constants of motion emerge that can force the superfluid to oscillate in time, similarly to the mechanism behind the recently discovered superfluid time crystals. We propose specific experimental implementations with which this rich and unusual spatiotemporal superfluid behavior can be explored.

show abstract

“…A central issue in MBL physics is the characterization of the transition point. Despite advancements in quantum simulators which allow for experimental attempts to access the transition [29,43,[46][47][48][49][50] and theoretical breakthroughs, the nature of the transition is still highly debated [11][12][13][14][15][16][17][18][19][20]. Assuming the existence of a second order phase transition, analytical results by Harris [51] and developments thereof [52,53] bound the critical exponent ν ≥ 2.…”

mentioning

confidence: 99%

A Memory Hierarchy for Many-Body Localization: Emulating the Thermodynamic Limit

Nico-Katz¹,

Bayat²,

Bose³

2021

Preprint

Self Cite

View full text Add to dashboard Cite

Local memory -the ability to extract information from a subsystem about its initial state -is a central feature of many-body localization. We introduce, investigate, and compare several informationtheoretic quantifications of memory and discover a hierarchical relationship among them. We also find that while the Holevo quantity is the most complete quantifier of memory, vastly outperforming the imbalance, its decohered counterpart is significantly better at capturing the critical properties of the many-body localization transition at small system sizes. This motivates our suggestion that one can emulate the thermodynamic limit by artifically decohering otherwise quantum quantities. Applying this method to the von Neumann entropy results in critical exponents consistent with analytic predictions, a feature missing from similar small finite-size system treatments. In addition, the decohering process makes experiments significantly simpler by avoiding quantum state tomography.

show abstract

Experimental characterization of the quantum many-body localization transition

Cited by 42 publications

References 42 publications

Many-Body Localization and the Emergence of Quantum Darwinism

Many-Body Localization and the Emergence of Quantum Darwinism

Collectively pair-driven-dissipative bosonic arrays: exotic and self-oscillatory condensates

A Memory Hierarchy for Many-Body Localization: Emulating the Thermodynamic Limit

Contact Info

Product

Resources

About