{"id":984,"date":"2021-01-31T14:32:27","date_gmt":"2021-01-31T14:32:27","guid":{"rendered":"http:\/\/cfiz.uoradea.ro\/?page_id=984"},"modified":"2022-12-02T07:07:27","modified_gmt":"2022-12-02T07:07:27","slug":"pn-iii-p4-id-pce-2020-0277-decorsys","status":"publish","type":"page","link":"https:\/\/cfiz.uoradea.ro\/?page_id=984","title":{"rendered":"PN-III-P4-ID-PCE-2020-0277 (DECORSYS)"},"content":{"rendered":"
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Project coordinator: Moca Pa\u0219cu C\u0103t\u0103lin<\/p>\n\n

Period: 4th<\/sup> of January 2021 and 31st<\/sup> of December 2023<\/p>\n\n

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The project PN-III-P4-ID-PCE-2020-0277 entitled “Dynamics and entanglement in correlated systems” is a research project funded by the Romanian National Authority for Scientific Research, UEFISCDI<\/a>. The total budget of the project is 1 200 000 lei (250 000 \u20ac).<\/p>\n<\/div>\n\n

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Proiectul PN-III-P4-ID-PCE-2020-0277 intitulat \u201eDinamica \u0219i inseparabilitate \u00een sisteme corelate\u201d este un proiect de cercetare finantat de Autoritatea Nationala pentru Cercetare Stiintifica Romana, UEFISCDI. Bugetul total al proiectului este de 1 200 000 lei (250 000 \u20ac).<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n

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Short description of the project<\/strong><\/p>\n\n

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Non-equilibrium dynamics, correlations and entanglement have been investigated intensively both experimentally and theoretically. At present it allows us to address fundamental questions such as thermalization and equilibration, to investigate non-equilibrium quantum fluctuation relations or to analyze non-linear response.  Recently, there is also a recent surge of interest in understanding and analyzing non-hermitian Hamiltonians. The intriguing physical effects embedded in such non-Hermitian physics triggered state of art developments in many branches of physics. As a result of this progress the otherwise fundamental problems of quantum statistical physics, such as the structure of the \u201cstationary\u201d state of closed quantum systems, the formation of thermodynamic entropy and quantum entanglement during time evolution, the Kibble-Zurek mechanism across a quantum critical point or even the formation of non-equilibrium phases in excited quantum systems become relevant for non-Hermitic and open systems.  These problems are not only critical to today\u2019s cold atomic and solid-state physics experiments, but a detailed description of time evolution is essential for quantum communication applications, quantum cryptography, quantum computations, and quantum simulations.  In the present project we plan to develop and apply new theoretical tools and computational methods that can be used to discover and explain new phenomena and mechanisms, and to obtain more accurate answers to such problems. The problems that we are planning to address have a high degree of originality and were not address previously in the literature, therefore reaching the objectives of our proposal will provide a fresh theoretical insight into the dynamics in non-Hermitian and open systems dynamics. We are planning to develop new numerical codes by upgrading the TEBD code to Liouvillian evolution, incorporate the quantum trajectories into it, and to develop a new TDVP code for non-equilibrium dynamics. These unique tools shall enable us to study unknown aspects of entanglement growth, information spreading and correlations in such systems.<\/p>\n\n

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Scurt\u0103 descriere a proiectului<\/strong><\/p>\n\n

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Dinamica de neechilibru, corela\u021biile \u0219i \u00eenseparabilitatea au fost investigate intens at\u00e2t experimental, c\u00e2t \u0219i teoretic. \u00cen prezent, ne permite s\u0103 abord\u0103m \u00eentreb\u0103ri fundamentale precum termalizarea \u0219i echilibrarea, s\u0103 investig\u0103m rolul fluctua\u021biilor cuantice \u00een sisteme la neechilibru sau r\u0103spunsul neliniar. Recent, a crescut \u0219i interesului pentru \u00een\u021belegerea \u0219i analiza sistemelor non-hermitice. Efectele fizice fascinante \u00eencorporate \u00eentr-o astfel de fizic\u0103 non-hermitica au dus la studii noi \u00een multe ramuri ale fizicii. Ca urmare a acestui progres, problemele de altfel fundamentale ale fizicii statistice cuantice, cum ar fi structura st\u0103rii \u201esta\u021bionare\u201d a sistemelor cuantice \u00eenchise, formarea entropiei termodinamice \u0219i a inseparabilitatea cuantica \u00een timpul evolu\u021biei \u00een timp, mecanismul Kibble-Zurek \u00een vecin\u0103tatea unui punc critic sau formarea fazelor de neechilibru \u00een sisteme cuantice excitate devin relevante pentru sistemele non-hermitic sau sistemele deschise. Aceste probleme sunt doar importante at\u00e2t din punct de vedere experimental c\u00e2t \u0219i teoretic \u0219i necesita o \u00een\u021belegere \u0219i o descriere detaliat\u0103 a evolu\u021biei sistemului pentru aplica\u021biile de comunicare cuantic\u0103, criptografia cuantic\u0103, calculele \u0219i simul\u0103rile folosind algoritmi cuantici. \u00cen cadrul proiectului de fata ne propunem s\u0103 dezvolt\u0103m \u0219i s\u0103 aplic\u0103m noi instrumente teoretice \u0219i metode de calcul care pot fi utilizate pentru a descoperi \u0219i explica noi fenomene \u0219i mecanisme \u0219i pentru a ob\u021bine r\u0103spunsuri mai precise la astfel de probleme. Problemele pe care inten\u021bion\u0103m s\u0103 le abord\u0103m au \u200b\u200bun grad ridicat de originalitate \u0219i nu au fost abordate anterior \u00een literatur\u0103, prin urmare atingerea obiectivelor va oferi o nou\u0103 perspectiv\u0103 teoretic\u0103 asupra dinamicii sistemelor deschise \u0219i non-hermitice. Planific\u0103m s\u0103 dezvolt\u0103m noi coduri numerice prin actualizarea codului TEBD la evolu\u021bia Liouvillian\u0103, s\u0103 \u00eencorpor\u0103m traiectorii cuantice \u00een acesta \u0219i s\u0103 dezvolt\u0103m un nou cod TDVP pentru dinamica de neechilibru. Aceste instrumente unice ne vor permite s\u0103 studiem corela\u021biilor \u00een astfel de sisteme.<\/p>\n<\/div>\n<\/div>\n\n

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Main objectives<\/strong><\/p>\n\n

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T1) Developing of new methods such as the TEBD for density matrix in Liouvillian space, quantum trajectories within the TEBD approach, or the TDVP approach. T2) Investigating the non-equilibrium dynamics and correlations in open systems and non-hermitic models T3) The study of quantum information and entanglement in open systems and in non-hermitian models.<\/p>\n<\/div>\n\n

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Obiective principale<\/strong><\/p>\n\n

T1) Dezvoltarea de noi metode precum TEBD pentru matricea de densitatei \u00een spa\u021biul Liouvillian, traiectorii cuantice \u00een cadrul abord\u0103rii TEBD sau abordarea TDVP. T2) Investigarea dinamicii \u015fi corela\u0163iilor de neechilibru \u00een sisteme deschise \u015fi modele neermitice T3) Studiul informa\u0163iei cuantice \u015fi inseparabilitatii \u00een sisteme deschise \u015fi \u00een modele non-herzmitice.<\/p>\n<\/div>\n<\/div>\n\n

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Group members \/ Membrii grupului<\/p>\n\n

Prof. C\u0103t\u0103lin Pa\u0219cu Moca <\/a><\/p>\n\n

Prof. Gergely Zarand<\/a><\/p>\n\n

Prof. Dora Balazs<\/a><\/p>\n\n

CS3. Doru Cristian Sticlet<\/a><\/p>\n\n

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Publications \/ Publica\u021bii<\/span><\/p>\n\n

[10] Non-Hermitian off-diagonal magnetic response of Dirac fermions<\/a>, R.Z. Kiss, Doru Sticlet, <\/span>C\u0103t\u0103lin Pa\u015fcu Moca and Bal\u00e1zs D\u00f3ra, Phys. Rev. B 106<\/strong>, 165411, (2022)<\/p>\n

[9] Simulating Lindbladian evolution with non-Abelian symmetries: Ballistic front propagation in the SU(2) Hubbard model with a localized loss<\/a>, C\u0103t\u0103lin Pa\u015fcu Moca, Mikl\u00f3s Antal Werner, \u00d6rs Legeza, Toma\u017e Prosen, M\u00e1rton Kormos, and Gergely Zar\u00e1nd, Phys. Rev. B 105<\/strong>, 195144 (2022)<\/span><\/p>\n

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[8] Quantum Coulomb glass on the Bethe lattice<\/a>, Izabella Lovas, Annam\u00e1ria Kiss, C\u0103t\u0103lin Pa\u015fcu Moca, and Gergely Zar\u00e1nd, Phys. Rev. Research 4<\/strong>, 023067 (2022)<\/span><\/p>\n

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[7] Correlations at PT-Symmetric Quantum Critical Point<\/a>, Bal\u00e1zs D\u00f3ra, Doru Sticlet, and C\u0103t\u0103lin Pa\u015fcu Moca, Phys. Rev. Lett. 128<\/strong>, 146804 (2022)<\/span><\/p>\n

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[6] Kubo Formula for Non-Hermitian Systems and Tachyon Optical Conductivity<\/a>, Doru Sticlet, Bal\u00e1zs D\u00f3ra, and C\u0103t\u0103lin Pa\u015fcu Moca, Phys. Rev. Lett. 128<\/strong>, 016802 (2022).<\/span><\/p>\n

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[5] Kondo Cloud in a Superconductor<\/a> C\u0103t\u0103lin Pa\u015fcu Moca, Ireneusz Weymann, Mikl\u00f3s Antal Werner, and Gergely Zar\u00e1nd, Phys. Rev. Lett. 127<\/strong>, 186804 (2021)<\/span><\/p>\n

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[4] Universal conductance of a PT-symmetric Luttinger liquid after a quantum quench<\/a>, C\u0103t\u0103lin Pa\u015fcu Moca and Bal\u00e1zs D\u00f3ra, Phys. Rev. B 104<\/strong>, 125124 (2021)<\/span><\/p>\n

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[3] Defect production due to time-dependent coupling to environment in the Lindblad equation<\/a> Bal\u00e1zs Gul\u00e1csi and Bal\u00e1zs D\u00f3ra, Phys. Rev. B 103<\/strong>, 205153 (2021)<\/span><\/p>\n

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[2] Time-dependent electric transport in nodal loop semimetals<\/a>, Zolt\u00e1n Okv\u00e1tovity, L\u00e1szl\u00f3 Oroszl\u00e1ny, and Bal\u00e1zs D\u00f3ra, Phys. Rev. B 104<\/strong>, 035130 (2021)<\/span><\/p>\n

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[1] Non-Hermitian Lindhard function and Friedel oscillations<\/a>, Bal\u00e1zs D\u00f3ra, Doru Sticlet, and C\u0103t\u0103lin Pa\u015fcu Moca, Phys. Rev. B 104<\/strong>, 125113 (2021)<\/span><\/p>\n

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