Characterization of Quantum and Classical Critical Points for an Integrable Two-Qubit Spin-Boson Model

被引：4

作者：

Grimaudo, Roberto ^{[1
]}

Messina, Antonino ^{[2
]}

Nakazato, Hiromichi ^{[3
]}

Sergi, Alessandro ^{[4
,5
]}

Valenti, Davide ^{[6
]}

机构：

[1] Univ Catania, Dipartimento Fis & Astron E Majorana, Via S Sofia 64, I-95123 Catania, Italy

[2] Univ Palermo, Dipartimento Matemat & Infrormat, Via Archirafi 34, I-90123 Palermo, Italy

[3] Waseda Univ, Dept Phys, Tokyo 1698555, Japan

[4] Univ Messina, Dipartimento Sci Matemat & Informat, Sci Fis & Sci Terra, Viale F Stagno Alcontres 31, I-98166 Messina, Italy

[5] Durban Univ Technol, Inst Syst Sci, POB 1334, ZA-4000 Durban, South Africa

[6] Univ Palermo, Dipartimento Fis & Chim Emilio Segre, Viale Sci,Ed 18, I-90128 Palermo, Italy

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 12期

关键词：

open quantum systems; spin-boson model; interacting qubits; quantum phase transitions; NON-HERMITIAN HAMILTONIANS; PHASE-TRANSITIONS; RYDBERG BLOCKADE; DYNAMICS; GENERATION; GATES;

D O I：

10.3390/sym15122174

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The class of two-interacting-qubit spin-boson models with vanishing transverse fields on the spin-pair is studied. The model can be mapped exactly into two independent standard single-impurity spin-boson models where the role of the tunneling parameter is played by the spin-spin coupling. The dynamics of the magnetization are analyzed for different levels of (an)isotropy. The existence of a decoherence-free subspace, as well as of different classical regimes separated by a critical temperature, and symptoms of quantum (first-order and Kosterlitz-Thouless type) phase transitions in the Ohmic regime are brought to light.

引用

页数：19

共 106 条

[1] Signatures of the ultrastrong light-matter coupling regime [J].

Anappara, Aji A. ;

De Liberato, Simone ;

Tredicucci, Alessandro ;

Ciuti, Cristiano ;

Biasiol, Giorgio ;

Sorba, Lucia ;

Beltram, Fabio .

PHYSICAL REVIEW B, 2009, 79 (20)

[2] Large deviations and fluctuation theorem for the quantum heat current in the spin-boson model [J].

Aurell, Erik ;

Donvil, Brecht ;

Mallick, Kirone .

PHYSICAL REVIEW E, 2020, 101 (05)

[3] ELEMENTARY GATES FOR QUANTUM COMPUTATION [J].

BARENCO, A ;

BENNETT, CH ;

CLEVE, R ;

DIVINCENZO, DP ;

MARGOLUS, N ;

SHOR, P ;

SLEATOR, T ;

SMOLIN, JA ;

WEINFURTER, H .

PHYSICAL REVIEW A, 1995, 52 (05) :3457-3467

[4] Diabatic Gates for Frequency-Tunable Superconducting Qubits [J].

Barends, R. ;

Quintana, C. M. ;

Petukhov, A. G. ;

Chen, Yu ;

Kafri, D. ;

Kechedzhi, K. ;

Collins, R. ;

Naaman, O. ;

Boixo, S. ;

Arute, F. ;

Arya, K. ;

Buell, D. ;

Burkett, B. ;

Chen, Z. ;

Chiaro, B. ;

Dunsworth, A. ;

Foxen, B. ;

Fowler, A. ;

Gidney, C. ;

Giustina, M. ;

Graff, R. ;

Huang, T. ;

Jeffrey, E. ;

Kelly, J. ;

Klimov, P. V. ;

Kostritsa, F. ;

Landhuis, D. ;

Lucero, E. ;

McEwen, M. ;

Megrant, A. ;

Mi, X. ;

Mutus, J. ;

Neeley, M. ;

Neill, C. ;

Ostby, E. ;

Roushan, P. ;

Sank, D. ;

Satzinger, K. J. ;

Vainsencher, A. ;

White, T. ;

Yao, J. ;

Yeh, P. ;

Zalcman, A. ;

Neven, H. ;

Smelyanskiy, V. N. ;

Martinis, John M. .

PHYSICAL REVIEW LETTERS, 2019, 123 (21)

[5] Real spectra in non-Hermitian Hamiltonians having PT symmetry [J].

Bender, CM ;

Boettcher, S .

PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5243-5246

[6] Stabilizing spin coherence through environmental entanglement in strongly dissipative quantum systems [J].

Bera, Soumya ;

Florens, Serge ;

Baranger, Harold U. ;

Roch, Nicolas ;

Nazir, Ahsan ;

Chin, Alex W. .

PHYSICAL REVIEW B, 2014, 89 (12)

[7] Dissipative phase transition in a pair of coupled noisy two-level systems [J].

Bonart, Julius .

PHYSICAL REVIEW B, 2013, 88 (12)

[8]

Breuer H. P., 2002, The Theory of Open Quantum Systems, DOI DOI 10.1093/ACPROF:OSO/9780199213900.001.0001

[9] Mixed-State Evolution in the Presence of Gain and Loss [J].

Brody, Dorje C. ;

Graefe, Eva-Maria .

PHYSICAL REVIEW LETTERS, 2012, 109 (23)

[10] Numerical renormalization group for bosonic systems and application to the sub-ohmic spin-boson model [J].

Bulla, R ;

Tong, NH ;

Vojta, M .

PHYSICAL REVIEW LETTERS, 2003, 91 (17)

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